Greatest Common Factor of 5422/220, 3711/2563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5422/220, 3711/2563

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 5422/220,3711/2563

Given fractions are 5422/220,3711/2563

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 5422,3711

Greatest Common Factor of Numerators i.e. GCF of 5422,3711 is 1 .

LCM of Denominators means LCM of 220,2563 as per the given fractions.

LCM of 220,2563 is 51260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5422,3711

GCF of Fractions 5422/220,3711/2563 is 1/51260

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5422,3711 By Matching Biggest Common Factor Method

Greatest Common Factor of 5422,3711 By Matching Biggest Common Factor Method

Factors of 5422

List of positive integer factors of 5422 that divides 5422 without a remainder.

1,2,2711,5422

Factors of 3711

List of positive integer factors of 3711 that divides 3711 without a remainder.

1,3,1237,3711

Greatest Common Factor

We found the factors 5422,3711 . The biggest common factor number is the GCF number.
So the greatest common factor 5422,3711 is 1.

Lets's calculate LCM of 220,2563

11 220, 2563
20, 233

∴ So the LCM of the given numbers is 11 x 20 x 233 = 51260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51260

Therefore, the GCF of Fractions 5422/220,3711/2563 is 1/51260

Least Common Multiple of 220,2563 with GCF Formula

Least Common Multiple of 220,2563 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 220,2563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,2563) = 11

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

GCF(220,2563) x common factors =11 x 1 = 11

LCM(220,2563) = ( 220 × 2563 ) / 11

LCM(220,2563) = 563860 / 11

LCM(220,2563) = 51260


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 5422/220, 3711/2563

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 5422/220, 3711/2563?

Answer: GCF of Numerators as per given numbers 5422/220, 3711/2563 is

GCF of Numerators i.e. for 5422,3711 is 1

LCM of denominators i.e. for 220,2563 is 51260.

Thus, GCF of Fractions is 1/51260.Finally, GCF of Fractions for 5422/220, 3711/2563 is 1/51260.