Greatest Common Factor of 5376/770, 2872/2599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5376/770, 2872/2599

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 5376/770,2872/2599

Given fractions are 5376/770,2872/2599

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 5376,2872

Greatest Common Factor of Numerators i.e. GCF of 5376,2872 is 8 .

LCM of Denominators means LCM of 770,2599 as per the given fractions.

LCM of 770,2599 is 2001230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5376,2872

GCF of Fractions 5376/770,2872/2599 is 8/2001230

2 5376, 2872
2 2688, 1436
2 1344, 718
672, 359

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

Greatest Common Factor of 5376,2872 By Matching Biggest Common Factor Method

Greatest Common Factor of 5376,2872 By Matching Biggest Common Factor Method

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376

Factors of 2872

List of positive integer factors of 2872 that divides 2872 without a remainder.

1,2,4,8,359,718,1436,2872

Greatest Common Factor

We found the factors 5376,2872 . The biggest common factor number is the GCF number.
So the greatest common factor 5376,2872 is 8.

Lets's calculate LCM of 770,2599

Given numbers has no common factors except 1. So, there LCM is their product i.e 2001230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2001230

Therefore, the GCF of Fractions 5376/770,2872/2599 is 8/2001230

Least Common Multiple of 770,2599 with GCF Formula

Least Common Multiple of 770,2599 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 770,2599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,2599) = 1

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

GCF(770,2599) x common factors =1 x 1 = 1

LCM(770,2599) = ( 770 × 2599 ) / 1

LCM(770,2599) = 2001230 / 1

LCM(770,2599) = 2001230


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 5376/770, 2872/2599

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 5376/770, 2872/2599?

Answer: GCF of Numerators as per given numbers 5376/770, 2872/2599 is

GCF of Numerators i.e. for 5376,2872 is 8

LCM of denominators i.e. for 770,2599 is 2001230.

Thus, GCF of Fractions is 8/2001230.Finally, GCF of Fractions for 5376/770, 2872/2599 is 8/2001230.