Greatest Common Factor of 8931/953, 5394/9395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8931/953, 5394/9395

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 8931/953,5394/9395

Given fractions are 8931/953,5394/9395

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 8931,5394

Greatest Common Factor of Numerators i.e. GCF of 8931,5394 is 3 .

LCM of Denominators means LCM of 953,9395 as per the given fractions.

LCM of 953,9395 is 8953435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8931,5394

GCF of Fractions 8931/953,5394/9395 is 3/8953435

3 8931, 5394
2977, 1798

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

Greatest Common Factor of 8931,5394 By Matching Biggest Common Factor Method

Greatest Common Factor of 8931,5394 By Matching Biggest Common Factor Method

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1,3,13,39,229,687,2977,8931

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Greatest Common Factor

We found the factors 8931,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,5394 is 3.

Lets's calculate LCM of 953,9395

Given numbers has no common factors except 1. So, there LCM is their product i.e 8953435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8953435

Therefore, the GCF of Fractions 8931/953,5394/9395 is 3/8953435

Least Common Multiple of 953,9395 with GCF Formula

Least Common Multiple of 953,9395 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 953,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,9395) = 1

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

GCF(953,9395) x common factors =1 x 1 = 1

LCM(953,9395) = ( 953 × 9395 ) / 1

LCM(953,9395) = 8953435 / 1

LCM(953,9395) = 8953435


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 8931/953, 5394/9395

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 8931/953, 5394/9395?

Answer: GCF of Numerators as per given numbers 8931/953, 5394/9395 is

GCF of Numerators i.e. for 8931,5394 is 3

LCM of denominators i.e. for 953,9395 is 8953435.

Thus, GCF of Fractions is 3/8953435.Finally, GCF of Fractions for 8931/953, 5394/9395 is 3/8953435.