Tag: highest common factor (h.c.f.)

Quizzes (0) Questions (79)

Questions Related to highest common factor (h.c.f.)

Multiple choice maths hcf-lcm common factors and hcf hcf highest common factor (h.c.f.)

HCF of $120, 144$ and $216$ is:

  1. $38$
  2. $24$
  3. $120$
  4. $144$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The HCF of $120,144,216$ is

$120= 2 \times 2 \times 2 \times 3 \times 5 $
$144= 2 \times 2 \times 2 \times 2 \times 3 \times 3 $
$216= 2 \times 2 \times 2\times 3 \times 3 \times 3 $
Common factor is $2\times 2\times 2\times 3=24$ 
Hence, the HCF of $120,144$ and $216$ is $24$.

Multiple choice maths hcf-lcm common factors and hcf hcf highest common factor (h.c.f.)

Find the greatest number which divides 120, 165 and 210 exactly leaving remainders 5, 4 and 3 respectively

  1. 7

  2. 5

  3. 23

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The required number will be the H.C.F of (120 - 5), (165 - 4) and (210 - 3) i.e. H.C.F. of 115
161 and 207
$\displaystyle \therefore $ Required number = H.C.F. of 115, 161 and 207 = 23

Multiple choice maths hcf-lcm common factors and hcf hcf highest common factor (h.c.f.)

HCF of $24, 36$ and $92$ is:

  1. $24$
  2. $36$
  3. $12$
  4. $4$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The HCF of $24,36,92$ can be found by factorising all three numbers:

$24= 2 \times 2 \times 2 \times 3 $
$36= 2 \times 2 \times 3 \times 3 $
$92 =2 \times 2 \times 23 $
Now, common factors are $2$ and $2$
So, HCF is $ 2 \times 2=4$
Hence, the answer is $4$.

Multiple choice maths hcf-lcm common factors and hcf hcf highest common factor (h.c.f.)

What is the least number by which $825$ must be multiplied in order to produce a multiple of $715 ?$

  1. $13$
  2. $15$
  3. $11$
  4. $3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$825=3\times5\times5\times 11$

$715=5\times11\times13$
In the factor of both numbers, $13$ is not common. 
Hence, the least number by which $825$ must be multiplied in order to produce a multiple of $715=13.$