Greatest Common Factor of 9775/82, 6976/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9775/82, 6976/935

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 9775/82,6976/935

Given fractions are 9775/82,6976/935

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9775,6976

Greatest Common Factor of Numerators i.e. GCF of 9775,6976 is 1 .

LCM of Denominators means LCM of 82,935 as per the given fractions.

LCM of 82,935 is 76670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9775,6976

GCF of Fractions 9775/82,6976/935 is 1/76670

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

Greatest Common Factor of 9775,6976 By Matching Biggest Common Factor Method

Greatest Common Factor of 9775,6976 By Matching Biggest Common Factor Method

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Greatest Common Factor

We found the factors 9775,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 9775,6976 is 1.

Lets's calculate LCM of 82,935

Given numbers has no common factors except 1. So, there LCM is their product i.e 76670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76670

Therefore, the GCF of Fractions 9775/82,6976/935 is 1/76670

Least Common Multiple of 82,935 with GCF Formula

Least Common Multiple of 82,935 with GCF Formula

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

We need to calculate greatest common factor of 82,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,935) = 1

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

GCF(82,935) x common factors =1 x 1 = 1

LCM(82,935) = ( 82 × 935 ) / 1

LCM(82,935) = 76670 / 1

LCM(82,935) = 76670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9775/82, 6976/935

1. 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.

2. What is the GCF of Fractions for 9775/82, 6976/935?

Answer: GCF of Numerators as per given numbers 9775/82, 6976/935 is

GCF of Numerators i.e. for 9775,6976 is 1

LCM of denominators i.e. for 82,935 is 76670.

Thus, GCF of Fractions is 1/76670.Finally, GCF of Fractions for 9775/82, 6976/935 is 1/76670.