Greatest Common Factor of 9240/564, 5379/7077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9240/564, 5379/7077

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 9240/564,5379/7077

Given fractions are 9240/564,5379/7077

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 9240,5379

Greatest Common Factor of Numerators i.e. GCF of 9240,5379 is 33 .

LCM of Denominators means LCM of 564,7077 as per the given fractions.

LCM of 564,7077 is 1330476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9240,5379

GCF of Fractions 9240/564,5379/7077 is 33/1330476

3 9240, 5379
11 3080, 1793
280, 163

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 9240,5379 By Matching Biggest Common Factor Method

Greatest Common Factor of 9240,5379 By Matching Biggest Common Factor Method

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240

Factors of 5379

List of positive integer factors of 5379 that divides 5379 without a remainder.

1,3,11,33,163,489,1793,5379

Greatest Common Factor

We found the factors 9240,5379 . The biggest common factor number is the GCF number.
So the greatest common factor 9240,5379 is 33.

Lets's calculate LCM of 564,7077

3 564, 7077
188, 2359

∴ So the LCM of the given numbers is 3 x 188 x 2359 = 1330476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1330476

Therefore, the GCF of Fractions 9240/564,5379/7077 is 33/1330476

Least Common Multiple of 564,7077 with GCF Formula

Least Common Multiple of 564,7077 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 564,7077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,7077) = 3

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

GCF(564,7077) x common factors =3 x 1 = 3

LCM(564,7077) = ( 564 × 7077 ) / 3

LCM(564,7077) = 3991428 / 3

LCM(564,7077) = 1330476


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 9240/564, 5379/7077

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 9240/564, 5379/7077?

Answer: GCF of Numerators as per given numbers 9240/564, 5379/7077 is

GCF of Numerators i.e. for 9240,5379 is 33

LCM of denominators i.e. for 564,7077 is 1330476.

Thus, GCF of Fractions is 33/1330476.Finally, GCF of Fractions for 9240/564, 5379/7077 is 33/1330476.