Greatest Common Factor of 8529/956, 9381/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8529/956, 9381/140

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 8529/956,9381/140

Given fractions are 8529/956,9381/140

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 8529,9381

Greatest Common Factor of Numerators i.e. GCF of 8529,9381 is 3 .

LCM of Denominators means LCM of 956,140 as per the given fractions.

LCM of 956,140 is 33460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8529,9381

GCF of Fractions 8529/956,9381/140 is 3/33460

3 8529, 9381
2843, 3127

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8529,9381 By Matching Biggest Common Factor Method

Greatest Common Factor of 8529,9381 By Matching Biggest Common Factor Method

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1,3,2843,8529

Factors of 9381

List of positive integer factors of 9381 that divides 9381 without a remainder.

1,3,53,59,159,177,3127,9381

Greatest Common Factor

We found the factors 8529,9381 . The biggest common factor number is the GCF number.
So the greatest common factor 8529,9381 is 3.

Lets's calculate LCM of 956,140

2 956, 140
2 478, 70
239, 35

∴ So the LCM of the given numbers is 2 x 2 x 239 x 35 = 33460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33460

Therefore, the GCF of Fractions 8529/956,9381/140 is 3/33460

Least Common Multiple of 956,140 with GCF Formula

Least Common Multiple of 956,140 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 956,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,140) = 4

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

GCF(956,140) x common factors =4 x 1 = 4

LCM(956,140) = ( 956 × 140 ) / 4

LCM(956,140) = 133840 / 4

LCM(956,140) = 33460


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 8529/956, 9381/140

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 8529/956, 9381/140?

Answer: GCF of Numerators as per given numbers 8529/956, 9381/140 is

GCF of Numerators i.e. for 8529,9381 is 3

LCM of denominators i.e. for 956,140 is 33460.

Thus, GCF of Fractions is 3/33460.Finally, GCF of Fractions for 8529/956, 9381/140 is 3/33460.