Greatest Common Factor of 9676/301, 8508/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9676/301, 8508/362

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 9676/301,8508/362

Given fractions are 9676/301,8508/362

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 9676,8508

Greatest Common Factor of Numerators i.e. GCF of 9676,8508 is 4 .

LCM of Denominators means LCM of 301,362 as per the given fractions.

LCM of 301,362 is 108962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9676,8508

GCF of Fractions 9676/301,8508/362 is 4/108962

2 9676, 8508
2 4838, 4254
2419, 2127

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9676,8508 By Matching Biggest Common Factor Method

Greatest Common Factor of 9676,8508 By Matching Biggest Common Factor Method

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1,2,3,4,6,12,709,1418,2127,2836,4254,8508

Greatest Common Factor

We found the factors 9676,8508 . The biggest common factor number is the GCF number.
So the greatest common factor 9676,8508 is 4.

Lets's calculate LCM of 301,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 108962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/108962

Therefore, the GCF of Fractions 9676/301,8508/362 is 4/108962

Least Common Multiple of 301,362 with GCF Formula

Least Common Multiple of 301,362 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 301,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,362) = 1

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

GCF(301,362) x common factors =1 x 1 = 1

LCM(301,362) = ( 301 × 362 ) / 1

LCM(301,362) = 108962 / 1

LCM(301,362) = 108962


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 9676/301, 8508/362

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 9676/301, 8508/362?

Answer: GCF of Numerators as per given numbers 9676/301, 8508/362 is

GCF of Numerators i.e. for 9676,8508 is 4

LCM of denominators i.e. for 301,362 is 108962.

Thus, GCF of Fractions is 4/108962.Finally, GCF of Fractions for 9676/301, 8508/362 is 4/108962.