How to Find GCF of 961/792, 3747/204?

GCF of 961/792, 3747/204

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 961/792, 3747/204 i.e 1/13464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/792, 3747/204.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 961/792,3747/204?

Given fractions are 961/792,3747/204

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 961/792,3747/204, numerators are 961,3747

Denominators are 792,204

The GCF of 961,3747 is 1 .

LCM of 792,204 is 13464.

The greatest common factor of 961/792,3747/204 = [GCF of 961,3747]/[LCM of 792,204]= 1/13464

Therefore, the GCF of 961/792,3747/204 is 1/13464.

Greatest Common Factor of 961,3747

To find the highest common factor of 961,3747, we have to find the factors of both numbers and list the highest common factor.

The factors of 961 are 1, 31, 961

The factors of 3747 are 1, 3, 1249, 3747

The HCF of 961,3747 is 1.

Lets's calculate GCF of 961,3747

Greatest Common Factor (GCF) of 961,3747 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 961,3747 By Matching Biggest Common Factor Method

Now, list down the factors of 961

1,31,961

Now, list down the factors of 3747

1,3,1249,3747

Greatest Common Factor

We found the factors 961,3747 . The biggest common factor number is the GCF number.
So the greatest common factor 961,3747 is 1.

Lets's calculate LCM of 792,204

Lowest Common Multiple of 792,204 using Common Division

2	792, 204
2	396, 102
3	198, 51
	66, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 66 x 17 = 13464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13464

Therefore, the GCF of Fractions 961/792,3747/204 is 1/13464

Least Common Multiple of 792,204 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 792,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,204) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(792,204) x common factors =12 x 1 = 12

LCM(792,204) = ( 792 × 204 ) / 12

LCM(792,204) = 161568 / 12

LCM(792,204) = 13464

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FAQs on GCF of Fractions of 961/792, 3747/204

1. What is the HCF of 961,3747?

The HCF of 961,3747 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 961/792, 3747/204?

Answer: GCF of Numerators as per given numbers 961/792, 3747/204 is

GCF of Numerators i.e. for 961,3747 is 1

LCM of denominators i.e. for 792,204 is 13464.

Thus, GCF of Fractions is 1/13464.Finally, GCF of Fractions for 961/792, 3747/204 is 1/13464.