Home › Quizzes › GCF and LCM Practice

GCF and LCM Practice

Practice problems on Greatest Common Factor (GCF/HCF) and Least Common Multiple (LCM) including calculations, word problems, and conceptual questions.

25 Questions Published
Play Quiz Practise this topic out loud

Questions

Question 1 Multiple Choice (Single Answer)

What is the result obtained when greatest common factor of 64 and 80 takes away 11?

  1. 5
  2. 9
  3. 7
  4. 11
Question 2 Multiple Choice (Single Answer)

What is the result obtained when greatest common factor of 36 and 30 added to the greatest common factor of 28 and 35?

  1. 11
  2. 12
  3. 13
  4. 17
Question 3 Multiple Choice (Single Answer)

Jessica has clothes of different lengths measuring 240 cm, 318 cm and 426 cm. What is the largest possible length of each piece that are to be cut so that they are equal in length without anything remaining?

  1. 8 cm
  2. 7 cm
  3. 6 cm
  4. 5 cm
Question 4 Multiple Choice (Single Answer)

Which of the following options is the greatest common factor of 84 and 35?

  1. 16
  2. 8
  3. 7
  4. 2
Question 5 Multiple Choice (Single Answer)

Find the highest common factor of 56 and 72.

  1. 5
  2. 6
  3. 7
  4. 8
Question 6 Multiple Choice (Single Answer)

John has prepared such a toy that rings first bell after every 8 minutes, second bell rings after every 10 minutes and the third bell rings after every 15 minutes. If all the bells have rung together at 8 : 30 AM, when will they ring together again?

  1. 10 : 15 AM
  2. 10 : 30 AM
  3. 10 : 35 AM
  4. 10 : 45 AM
Question 7 Multiple Choice (Single Answer)

Find the LCM of 18 and 24?

  1. 24
  2. 36
  3. 48
  4. 72
Question 8 Multiple Choice (Single Answer)

In a school canteen, pie is served every fourth day and pudding is served every seventh day. If they both are served today, on which day they will be served together?

  1. 25th
  2. 26th
  3. 27th
  4. 28th
Question 9 Multiple Choice (Single Answer)

Find the HCF of 36, 54 and 45.

  1. 8
  2. 9
  3. 10
  4. 11
Question 10 Multiple Choice (Single Answer)

Find the LCM of 9 and 12.

  1. 27
  2. 36
  3. 48
  4. 108
Question 11 Multiple Choice (Single Answer)

Cookies and milk are served daily in the kindergarden class to students before their nap time. But every fifth day and ninth day, juice and hot chocolate is served respectively. If both are served together today, on which day juice and hot chocolate both will be served together again?

  1. 30
  2. 35
  3. 40
  4. 45
Question 12 Multiple Choice (Single Answer)

What is the greatest common factor of 84 and 56?

  1. 14
  2. 28
  3. 29
  4. 32
Question 13 Multiple Choice (Single Answer)

Jim visits his Edinburgh office every second month and his Yorkshire office every third month. If he visited both his offices in this month, when will he visit both the offices in the same month again?

  1. 4th month
  2. 5th month
  3. 6th month
  4. 7th month
Question 14 Multiple Choice (Single Answer)

What is the fourth multiple of the greatest common factor of 6 and 18?

  1. 24
  2. 28
  3. 30
  4. 36
Question 15 Multiple Choice (Single Answer)

What is the sum of the first four multiples of the least common multiple of 3 and 8?

  1. 260
  2. 256
  3. 240
  4. 220
Question 16 Multiple Choice (Single Answer)

Three numbers are in the ratio 1 : 2 : 4 and their LCM is 280. Find their HCF.

  1. 15
  2. 30
  3. 45
  4. 40
Question 17 Multiple Choice (Single Answer)

Which of the following options is the greatest common factor of 64 and 80?

  1. 10
  2. 14
  3. 16
  4. 22
Question 18 Multiple Choice (Single Answer)

How many factors does the greatest common factor of 15 and 20 have?

  1. 2
  2. 4
  3. 6
  4. 8
Question 19 Multiple Choice (Single Answer)

What is the least number which when doubled will be exactly divisible by 14, 21, 30?

  1. 105
  2. 120
  3. 150
  4. 180
Question 20 Multiple Choice (Single Answer)

What is the greatest common factor?

  1. The smallest of the large factors
  2. The largest of the common factors
  3. The sum of the common factors
  4. The first multiple of the largest factor
Question 21 Multiple Choice (Single Answer)

Which of the following options are the two common multiples of 8 and 12?

  1. 12 and 24
  2. 24 and 32
  3. 24 and 48
  4. 24 and 36
Question 22 Multiple Choice (Single Answer)

What is the lowest common multiple of 7 and 9?

  1. 63
  2. 56
  3. 49
  4. 35
Question 23 Multiple Choice (Single Answer)

What is the fourth multiple of the greatest common factor of 84 and 56?

  1. 96
  2. 102
  3. 108
  4. 112
Question 24 Multiple Choice (Single Answer)

What is the greatest common factor of 21 and 35?

  1. 1
  2. 3
  3. 5
  4. 7
Question 25 Multiple Choice (Single Answer)

Given that the lowest common multiple of 9 and 5 is added to the greatest common factor of 77 and 33. It gives us the number x. What is the 3rd multiple of x?

  1. 178
  2. 168
  3. 158
  4. 148
← Back to Quizzes