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 = 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)
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
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H.C.F and L.C.M Aptitude Concepts