Greatest Common Factor of 5868/952, 2596/7824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5868/952, 2596/7824

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 5868/952,2596/7824

Given fractions are 5868/952,2596/7824

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 5868,2596

Greatest Common Factor of Numerators i.e. GCF of 5868,2596 is 4 .

LCM of Denominators means LCM of 952,7824 as per the given fractions.

LCM of 952,7824 is 931056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5868,2596

GCF of Fractions 5868/952,2596/7824 is 4/931056

2 5868, 2596
2 2934, 1298
1467, 649

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

Greatest Common Factor of 5868,2596 By Matching Biggest Common Factor Method

Greatest Common Factor of 5868,2596 By Matching Biggest Common Factor Method

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Factors of 2596

List of positive integer factors of 2596 that divides 2596 without a remainder.

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 5868,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 5868,2596 is 4.

Lets's calculate LCM of 952,7824

2 952, 7824
2 476, 3912
2 238, 1956
119, 978

∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 978 = 931056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/931056

Therefore, the GCF of Fractions 5868/952,2596/7824 is 4/931056

Least Common Multiple of 952,7824 with GCF Formula

Least Common Multiple of 952,7824 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 952,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7824) = 8

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

GCF(952,7824) x common factors =8 x 1 = 8

LCM(952,7824) = ( 952 × 7824 ) / 8

LCM(952,7824) = 7448448 / 8

LCM(952,7824) = 931056


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 5868/952, 2596/7824

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 5868/952, 2596/7824?

Answer: GCF of Numerators as per given numbers 5868/952, 2596/7824 is

GCF of Numerators i.e. for 5868,2596 is 4

LCM of denominators i.e. for 952,7824 is 931056.

Thus, GCF of Fractions is 4/931056.Finally, GCF of Fractions for 5868/952, 2596/7824 is 4/931056.