Greatest Common Factor of 9356/301, 3576/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9356/301, 3576/715

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 9356/301,3576/715

Given fractions are 9356/301,3576/715

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 9356,3576

Greatest Common Factor of Numerators i.e. GCF of 9356,3576 is 4 .

LCM of Denominators means LCM of 301,715 as per the given fractions.

LCM of 301,715 is 215215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9356,3576

GCF of Fractions 9356/301,3576/715 is 4/215215

2 9356, 3576
2 4678, 1788
2339, 894

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

Greatest Common Factor of 9356,3576 By Matching Biggest Common Factor Method

Greatest Common Factor of 9356,3576 By Matching Biggest Common Factor Method

Factors of 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1,2,4,2339,4678,9356

Factors of 3576

List of positive integer factors of 3576 that divides 3576 without a remainder.

1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576

Greatest Common Factor

We found the factors 9356,3576 . The biggest common factor number is the GCF number.
So the greatest common factor 9356,3576 is 4.

Lets's calculate LCM of 301,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 215215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/215215

Therefore, the GCF of Fractions 9356/301,3576/715 is 4/215215

Least Common Multiple of 301,715 with GCF Formula

Least Common Multiple of 301,715 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 301,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,715) = 1

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

GCF(301,715) x common factors =1 x 1 = 1

LCM(301,715) = ( 301 × 715 ) / 1

LCM(301,715) = 215215 / 1

LCM(301,715) = 215215


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 9356/301, 3576/715

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 9356/301, 3576/715?

Answer: GCF of Numerators as per given numbers 9356/301, 3576/715 is

GCF of Numerators i.e. for 9356,3576 is 4

LCM of denominators i.e. for 301,715 is 215215.

Thus, GCF of Fractions is 4/215215.Finally, GCF of Fractions for 9356/301, 3576/715 is 4/215215.