How to Find GCF of 961/976, 9852/952?

GCF of 961/976, 9852/952

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 961/976, 9852/952 i.e 1/116144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/976, 9852/952.

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 961/976,9852/952?

Given fractions are 961/976,9852/952

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 961/976,9852/952, numerators are 961,9852

Denominators are 976,952

The GCF of 961,9852 is 1 .

LCM of 976,952 is 116144.

The greatest common factor of 961/976,9852/952 = [GCF of 961,9852]/[LCM of 976,952]= 1/116144

Therefore, the GCF of 961/976,9852/952 is 1/116144.

Greatest Common Factor of 961,9852

To find the highest common factor of 961,9852, 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 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852

The HCF of 961,9852 is 1.

Lets's calculate GCF of 961,9852

Greatest Common Factor (GCF) of 961,9852 By Common Division

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

Greatest Common Factor of 961,9852 By Matching Biggest Common Factor Method

Now, list down the factors of 961

1,31,961

Now, list down the factors of 9852

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 961,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 961,9852 is 1.

Lets's calculate LCM of 976,952

Lowest Common Multiple of 976,952 using Common Division

2	976, 952
2	488, 476
2	244, 238
	122, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 119 = 116144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116144

Therefore, the GCF of Fractions 961/976,9852/952 is 1/116144

Least Common Multiple of 976,952 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 976,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,952) = 8

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

GCF(976,952) x common factors =8 x 1 = 8

LCM(976,952) = ( 976 × 952 ) / 8

LCM(976,952) = 929152 / 8

LCM(976,952) = 116144

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FAQs on GCF of Fractions of 961/976, 9852/952

1. What is the HCF of 961,9852?

The HCF of 961,9852 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 961/976, 9852/952?

Answer: GCF of Numerators as per given numbers 961/976, 9852/952 is

GCF of Numerators i.e. for 961,9852 is 1

LCM of denominators i.e. for 976,952 is 116144.

Thus, GCF of Fractions is 1/116144.Finally, GCF of Fractions for 961/976, 9852/952 is 1/116144.