Greatest Common Factor of 2021/426, 5563/8792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2021/426, 5563/8792

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 2021/426,5563/8792

Given fractions are 2021/426,5563/8792

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 2021,5563

Greatest Common Factor of Numerators i.e. GCF of 2021,5563 is 1 .

LCM of Denominators means LCM of 426,8792 as per the given fractions.

LCM of 426,8792 is 1872696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2021,5563

GCF of Fractions 2021/426,5563/8792 is 1/1872696

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

Greatest Common Factor of 2021,5563 By Matching Biggest Common Factor Method

Greatest Common Factor of 2021,5563 By Matching Biggest Common Factor Method

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Factors of 5563

List of positive integer factors of 5563 that divides 5563 without a remainder.

1,5563

Greatest Common Factor

We found the factors 2021,5563 . The biggest common factor number is the GCF number.
So the greatest common factor 2021,5563 is 1.


Lets's calculate LCM of 426,8792

2 426, 8792
213, 4396

∴ So the LCM of the given numbers is 2 x 213 x 4396 = 1872696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1872696

Therefore, the GCF of Fractions 2021/426,5563/8792 is 1/1872696

Least Common Multiple of 426,8792 with GCF Formula

Least Common Multiple of 426,8792 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 426,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,8792) = 2

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

GCF(426,8792) x common factors =2 x 1 = 2

LCM(426,8792) = ( 426 × 8792 ) / 2

LCM(426,8792) = 3745392 / 2

LCM(426,8792) = 1872696


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2021/426, 5563/8792

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 2021/426, 5563/8792?

Answer: GCF of Numerators as per given numbers 2021/426, 5563/8792 is

GCF of Numerators i.e. for 2021,5563 is 1

LCM of denominators i.e. for 426,8792 is 1872696.

Thus, GCF of Fractions is 1/1872696.Finally, GCF of Fractions for 2021/426, 5563/8792 is 1/1872696.