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# H.C.F and L.C.M interview questions and answers

**6)
Which of the following is a pair of co-primes ?
**

- (16 , 62)
- (18 , 25)
- (21 , 35)
- (23 , 92)

**Answer**- b) (18 , 25)
**Solution**-
H.C.F of 18 and 28 is 1. So, they are co-primes.

**7)
The L.C.M. of 2**

2

^{3}* 3

^{2}* 5 * 11, 2

^{4}* 3

^{4}* 5

^{2}* 7 and

2

^{5}* 3

^{3}* 5

^{3}* 7

^{2}* 11 is

- 2
^{3}* 3^{2}* 5 - 2
^{5}* 3^{4}* 5^{3} - 2
^{3}* 3^{2}* 5 * 7 * 11 - 2
^{5}* 3^{4}* 5^{3}* 7^{2}* 11

**Answer**- d) 2
^{5}* 3^{4}* 5^{3}* 7^{2}* 11 **Solution**-
L.C.M = Product of highest powers of prime factors = 2

^{5}* 3^{4}* 5^{3}* 7^{2}* 11

**8)
The H.C.F of 1.75, 5.6 and 7 is:
**

- 0.07
- 0.7
- 3.5
- 0.35

**Answer**- d) 0.35
**Solution**-
Given numbers with two decimal places are : 1.75, 5.60 and 7.00. Without decimal places, these numbers are : 175, 560, and 700, whose H.C.F is 35.

H.C.F. of given numbers = 0.35.

**9)
The G.C.D of 1.08, 0.36 and 0.9 is :
**

- 0.03
- 0.9
- 0.18
- 0.108

**Answer**- c) 0.18
**Solution**-
Given numbers are 1.08, 0.36 and 0.90. H.C.F of 108, 36 and 90 is 18.

H.C.F. of given numbers = 0.18.

**10)
The H.C.F. of 0.54, 1.8 and 7.2 is :
**

- 1.8
- 0.18
- 0.018
- 18

**Answer**- b) 0.18
**Solution**-
Given numbers are 0.54, 1.80 and 7.20. H.C.F of 54, 180 and 720 is 18.

H.C.F. of given numbers = 0.18.