*52*

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

1) What is the HCF of 1095 and 1168?

- 37
- 73
- 43
- 83

**Answer:** B

**Explanation:**

By Division Method

Therefore the HCF is 73

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

- 7
- 14
- 21
- 35

**Answer:** D

**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)

**Answer:** B

**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?

- 32, 29, 17
- 17, 32, 29
- 29, 32, 17
- 32, 17, 29

**Answer:** A

**Explanation:**

First of all we have to write the numbers as product of the prime factor.

Prime factor of 608 = 2^{5} * 19

i.e.,

And the prime factor of 544 = 2^{5} * 17

i.e.,

So, the HCF of 608 and 544 = common factor in both = 2^{5} = 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)

**Answer:** C

**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