Greatest Common Factor of 9576/647, 8124/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9576/647, 8124/502

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 9576/647,8124/502

Given fractions are 9576/647,8124/502

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 9576,8124

Greatest Common Factor of Numerators i.e. GCF of 9576,8124 is 12 .

LCM of Denominators means LCM of 647,502 as per the given fractions.

LCM of 647,502 is 324794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9576,8124

GCF of Fractions 9576/647,8124/502 is 12/324794

2 9576, 8124
2 4788, 4062
3 2394, 2031
798, 677

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 9576,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 9576,8124 By Matching Biggest Common Factor Method

Factors of 9576

List of positive integer factors of 9576 that divides 9576 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 9576,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 9576,8124 is 12.

Lets's calculate LCM of 647,502

Given numbers has no common factors except 1. So, there LCM is their product i.e 324794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/324794

Therefore, the GCF of Fractions 9576/647,8124/502 is 12/324794

Least Common Multiple of 647,502 with GCF Formula

Least Common Multiple of 647,502 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 647,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,502) = 1

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

GCF(647,502) x common factors =1 x 1 = 1

LCM(647,502) = ( 647 × 502 ) / 1

LCM(647,502) = 324794 / 1

LCM(647,502) = 324794


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 9576/647, 8124/502

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 9576/647, 8124/502?

Answer: GCF of Numerators as per given numbers 9576/647, 8124/502 is

GCF of Numerators i.e. for 9576,8124 is 12

LCM of denominators i.e. for 647,502 is 324794.

Thus, GCF of Fractions is 12/324794.Finally, GCF of Fractions for 9576/647, 8124/502 is 12/324794.