# H.C.F and L.C.M Aptitude Test Paper 1

1) What is the HCF of 1095 and 1168?

1. 37
2. 73
3. 43
4. 83

Explanation:

By Division Method Therefore the HCF is 73

2) Find the HCF of 210, 385, and 735.

1. 7
2. 14
3. 21
4. 35

Explanation: 210 = 2 x 5 x 3 x 7 x 1
385 = 5 x 7 x 11 x 1
735 = 5 x 7 x 3 x 7 x 1
HCF = 5 x 7 = 35

3)  Explanation:

Formula: HCF:

2= 2 x 1
8= 2 x 2 x 2
64= 2 x 2 x 2 x 2 x 2 x 2
10= 2 x 5
HCF =2

LCM: LCM = 3 x 3 x 3 x 3 = 81 4) What will be the HCF of 608, 544; 638, 783; and 425, 476 respectively?

1. 32, 29, 17
2. 17, 32, 29
3. 29, 32, 17
4. 32, 17, 29

Explanation:

First of all we have to write the numbers as product of the prime factor.
Prime factor of 608 = 25 * 19
i.e., And the prime factor of 544 = 25 * 17
i.e., So, the HCF of 608 and 544 = common factor in both = 25 = 32
Similarly, The prime factor of 638 = 2 * 11 * 29
The prime factor of 783 = 3* 3 * 3 * 29
So, the HCF of 638 and 783 = 29

Now, the prime factor of 425 = 5 * 5 * 17
The prime factor of 476 = 2*2*7*17
So, the HCF of 425 and 476 = 17

5)  Explanation:
Formula: LCM: LCM = 2 x 2 x 5 = 20

HCF:

3=3 x 1
6=3 x 2 x 1
9=3 x 3 x 1
27=3 x 3 x 3 x 1
HCF =3
Formula: H.C.F and L.C.M Aptitude Test Paper 2
H.C.F and L.C.M Aptitude Test Paper 3
H.C.F and L.C.M Aptitude Test Paper 4
H.C.F and L.C.M Aptitude Test Paper 5
H.C.F and L.C.M Aptitude Concepts

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