Greatest Common Factor of 5672/254, 4963/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5672/254, 4963/880

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 5672/254,4963/880

Given fractions are 5672/254,4963/880

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 5672,4963

Greatest Common Factor of Numerators i.e. GCF of 5672,4963 is 709 .

LCM of Denominators means LCM of 254,880 as per the given fractions.

LCM of 254,880 is 111760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5672,4963

GCF of Fractions 5672/254,4963/880 is 709/111760

709 5672, 4963
8, 7

∴ So the GCF of the given numbers is 709 = 709

Greatest Common Factor of 5672,4963 By Matching Biggest Common Factor Method

Greatest Common Factor of 5672,4963 By Matching Biggest Common Factor Method

Factors of 5672

List of positive integer factors of 5672 that divides 5672 without a remainder.

1,2,4,8,709,1418,2836,5672

Factors of 4963

List of positive integer factors of 4963 that divides 4963 without a remainder.

1,7,709,4963

Greatest Common Factor

We found the factors 5672,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 5672,4963 is 709.

Lets's calculate LCM of 254,880

2 254, 880
127, 440

∴ So the LCM of the given numbers is 2 x 127 x 440 = 111760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 709/111760

Therefore, the GCF of Fractions 5672/254,4963/880 is 709/111760

Least Common Multiple of 254,880 with GCF Formula

Least Common Multiple of 254,880 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 254,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,880) = 2

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

GCF(254,880) x common factors =2 x 1 = 2

LCM(254,880) = ( 254 × 880 ) / 2

LCM(254,880) = 223520 / 2

LCM(254,880) = 111760


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 5672/254, 4963/880

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 5672/254, 4963/880?

Answer: GCF of Numerators as per given numbers 5672/254, 4963/880 is

GCF of Numerators i.e. for 5672,4963 is 709

LCM of denominators i.e. for 254,880 is 111760.

Thus, GCF of Fractions is 709/111760.Finally, GCF of Fractions for 5672/254, 4963/880 is 709/111760.