Greatest Common Factor of 2541/890, 8939/6453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2541/890, 8939/6453

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 2541/890,8939/6453

Given fractions are 2541/890,8939/6453

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 2541,8939

Greatest Common Factor of Numerators i.e. GCF of 2541,8939 is 7 .

LCM of Denominators means LCM of 890,6453 as per the given fractions.

LCM of 890,6453 is 5743170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2541,8939

GCF of Fractions 2541/890,8939/6453 is 7/5743170

7 2541, 8939
363, 1277

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2541,8939 By Matching Biggest Common Factor Method

Greatest Common Factor of 2541,8939 By Matching Biggest Common Factor Method

Factors of 2541

List of positive integer factors of 2541 that divides 2541 without a remainder.

1,3,7,11,21,33,77,121,231,363,847,2541

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1,7,1277,8939

Greatest Common Factor

We found the factors 2541,8939 . The biggest common factor number is the GCF number.
So the greatest common factor 2541,8939 is 7.

Lets's calculate LCM of 890,6453

Given numbers has no common factors except 1. So, there LCM is their product i.e 5743170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5743170

Therefore, the GCF of Fractions 2541/890,8939/6453 is 7/5743170

Least Common Multiple of 890,6453 with GCF Formula

Least Common Multiple of 890,6453 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 890,6453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,6453) = 1

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

GCF(890,6453) x common factors =1 x 1 = 1

LCM(890,6453) = ( 890 × 6453 ) / 1

LCM(890,6453) = 5743170 / 1

LCM(890,6453) = 5743170


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 2541/890, 8939/6453

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 2541/890, 8939/6453?

Answer: GCF of Numerators as per given numbers 2541/890, 8939/6453 is

GCF of Numerators i.e. for 2541,8939 is 7

LCM of denominators i.e. for 890,6453 is 5743170.

Thus, GCF of Fractions is 7/5743170.Finally, GCF of Fractions for 2541/890, 8939/6453 is 7/5743170.