Greatest Common Factor of 2964/79, 5824/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2964/79, 5824/617

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 2964/79,5824/617

Given fractions are 2964/79,5824/617

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 2964,5824

Greatest Common Factor of Numerators i.e. GCF of 2964,5824 is 52 .

LCM of Denominators means LCM of 79,617 as per the given fractions.

LCM of 79,617 is 48743 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2964,5824

GCF of Fractions 2964/79,5824/617 is 52/48743

2 2964, 5824
2 1482, 2912
13 741, 1456
57, 112

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 2964,5824 By Matching Biggest Common Factor Method

Greatest Common Factor of 2964,5824 By Matching Biggest Common Factor Method

Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964

Factors of 5824

List of positive integer factors of 5824 that divides 5824 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824

Greatest Common Factor

We found the factors 2964,5824 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,5824 is 52.

Lets's calculate LCM of 79,617

Given numbers has no common factors except 1. So, there LCM is their product i.e 48743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/48743

Therefore, the GCF of Fractions 2964/79,5824/617 is 52/48743

Least Common Multiple of 79,617 with GCF Formula

Least Common Multiple of 79,617 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 79,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,617) = 1

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

GCF(79,617) x common factors =1 x 1 = 1

LCM(79,617) = ( 79 × 617 ) / 1

LCM(79,617) = 48743 / 1

LCM(79,617) = 48743


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 2964/79, 5824/617

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 2964/79, 5824/617?

Answer: GCF of Numerators as per given numbers 2964/79, 5824/617 is

GCF of Numerators i.e. for 2964,5824 is 52

LCM of denominators i.e. for 79,617 is 48743.

Thus, GCF of Fractions is 52/48743.Finally, GCF of Fractions for 2964/79, 5824/617 is 52/48743.