Greatest Common Factor of 7941/821, 7974/4545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7941/821, 7974/4545

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 7941/821,7974/4545

Given fractions are 7941/821,7974/4545

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 7941,7974

Greatest Common Factor of Numerators i.e. GCF of 7941,7974 is 3 .

LCM of Denominators means LCM of 821,4545 as per the given fractions.

LCM of 821,4545 is 3731445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7941,7974

GCF of Fractions 7941/821,7974/4545 is 3/3731445

3 7941, 7974
2647, 2658

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7941,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 7941,7974 By Matching Biggest Common Factor Method

Factors of 7941

List of positive integer factors of 7941 that divides 7941 without a remainder.

1,3,2647,7941

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 7941,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 7941,7974 is 3.

Lets's calculate LCM of 821,4545

Given numbers has no common factors except 1. So, there LCM is their product i.e 3731445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3731445

Therefore, the GCF of Fractions 7941/821,7974/4545 is 3/3731445

Least Common Multiple of 821,4545 with GCF Formula

Least Common Multiple of 821,4545 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 821,4545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,4545) = 1

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

GCF(821,4545) x common factors =1 x 1 = 1

LCM(821,4545) = ( 821 × 4545 ) / 1

LCM(821,4545) = 3731445 / 1

LCM(821,4545) = 3731445


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 7941/821, 7974/4545

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 7941/821, 7974/4545?

Answer: GCF of Numerators as per given numbers 7941/821, 7974/4545 is

GCF of Numerators i.e. for 7941,7974 is 3

LCM of denominators i.e. for 821,4545 is 3731445.

Thus, GCF of Fractions is 3/3731445.Finally, GCF of Fractions for 7941/821, 7974/4545 is 3/3731445.