Greatest Common Factor of 5096/667, 8240/5437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5096/667, 8240/5437

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 5096/667,8240/5437

Given fractions are 5096/667,8240/5437

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 5096,8240

Greatest Common Factor of Numerators i.e. GCF of 5096,8240 is 8 .

LCM of Denominators means LCM of 667,5437 as per the given fractions.

LCM of 667,5437 is 3626479 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5096,8240

GCF of Fractions 5096/667,8240/5437 is 8/3626479

2 5096, 8240
2 2548, 4120
2 1274, 2060
637, 1030

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5096,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 5096,8240 By Matching Biggest Common Factor Method

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 5096,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 5096,8240 is 8.

Lets's calculate LCM of 667,5437

Given numbers has no common factors except 1. So, there LCM is their product i.e 3626479

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3626479

Therefore, the GCF of Fractions 5096/667,8240/5437 is 8/3626479

Least Common Multiple of 667,5437 with GCF Formula

Least Common Multiple of 667,5437 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 667,5437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,5437) = 1

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

GCF(667,5437) x common factors =1 x 1 = 1

LCM(667,5437) = ( 667 × 5437 ) / 1

LCM(667,5437) = 3626479 / 1

LCM(667,5437) = 3626479


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 5096/667, 8240/5437

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 5096/667, 8240/5437?

Answer: GCF of Numerators as per given numbers 5096/667, 8240/5437 is

GCF of Numerators i.e. for 5096,8240 is 8

LCM of denominators i.e. for 667,5437 is 3626479.

Thus, GCF of Fractions is 8/3626479.Finally, GCF of Fractions for 5096/667, 8240/5437 is 8/3626479.