# Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 6)

6.

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

Answer: Option

Explanation:

Let the numbers be 37*a* and 37*b*.

Then, 37*a* x 37*b* = 4107

*ab* = 3.

Now, co-primes with product 3 are (1, 3).

So, the required numbers are (37 x 1, 37 x 3) *i.e.,* (37, 111).

Greater number = 111.

Discussion:

74 comments Page 1 of 8.
Bijip said:
2 months ago

Why we will take co-prime here? Please explain me.

Vaibhavi said:
1 year ago

Let the numbers be 37a × 37b

Then, 37a × 37b = 4107.

37ab = 4107/37,

37ab = 111,

ab = 111/37.

ab = 3.

Now, co-primes with product 3 are (1, 3).

So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).

The Greater number = 111.

Then, 37a × 37b = 4107.

37ab = 4107/37,

37ab = 111,

ab = 111/37.

ab = 3.

Now, co-primes with product 3 are (1, 3).

So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).

The Greater number = 111.

(17)

MANJULADEVI K said:
1 year ago

The product of 2 number is 4107.

The HCF of these number is 37.

4107= 37 * a

4107/37 = a

Answer is 111.

The HCF of these number is 37.

4107= 37 * a

4107/37 = a

Answer is 111.

(49)

Omprakash said:
2 years ago

Thanks, everyone.

(3)

Srivani said:
2 years ago

How you get ab=3? please explain.

(6)

Mayur said:
3 years ago

Simple;

HCF*LCM = PRODUCT.

37 * 111 = 4107.

HCF*LCM = PRODUCT.

37 * 111 = 4107.

(19)

Gopi said:
3 years ago

37 * x = 4107.

x = 111.

x = 111.

(4)

Mouni said:
3 years ago

HCF=37

The product of two no's=4107

37 * x = 4107, where x=greatest no

x = 4107%37 = 111.

The product of two no's=4107

37 * x = 4107, where x=greatest no

x = 4107%37 = 111.

(3)

Nilay said:
3 years ago

Thank you @Shilpa.

(1)

Hemanth reddy said:
3 years ago

AB = hcf * lcm.

4107 = 37 * x.

X = 4107/37.

Lcm = 111.

We know that lcm is always greater than HCF.

So the greatest number is 111.

In case the smallest number is 37.

4107 = 37 * x.

X = 4107/37.

Lcm = 111.

We know that lcm is always greater than HCF.

So the greatest number is 111.

In case the smallest number is 37.

(11)

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