Greatest Common Factor of 9359/30, 8582/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9359/30, 8582/972

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 9359/30,8582/972

Given fractions are 9359/30,8582/972

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 9359,8582

Greatest Common Factor of Numerators i.e. GCF of 9359,8582 is 7 .

LCM of Denominators means LCM of 30,972 as per the given fractions.

LCM of 30,972 is 4860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9359,8582

GCF of Fractions 9359/30,8582/972 is 7/4860

7 9359, 8582
1337, 1226

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9359,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 9359,8582 By Matching Biggest Common Factor Method

Factors of 9359

List of positive integer factors of 9359 that divides 9359 without a remainder.

1,7,49,191,1337,9359

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 9359,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 9359,8582 is 7.

Lets's calculate LCM of 30,972

2 30, 972
3 15, 486
5, 162

∴ So the LCM of the given numbers is 2 x 3 x 5 x 162 = 4860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4860

Therefore, the GCF of Fractions 9359/30,8582/972 is 7/4860

Least Common Multiple of 30,972 with GCF Formula

Least Common Multiple of 30,972 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 30,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,972) = 6

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

GCF(30,972) x common factors =6 x 1 = 6

LCM(30,972) = ( 30 × 972 ) / 6

LCM(30,972) = 29160 / 6

LCM(30,972) = 4860


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 9359/30, 8582/972

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 9359/30, 8582/972?

Answer: GCF of Numerators as per given numbers 9359/30, 8582/972 is

GCF of Numerators i.e. for 9359,8582 is 7

LCM of denominators i.e. for 30,972 is 4860.

Thus, GCF of Fractions is 7/4860.Finally, GCF of Fractions for 9359/30, 8582/972 is 7/4860.