Greatest Common Factor of 2561/164, 7002/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2561/164, 7002/371

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 2561/164,7002/371

Given fractions are 2561/164,7002/371

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 2561,7002

Greatest Common Factor of Numerators i.e. GCF of 2561,7002 is 1 .

LCM of Denominators means LCM of 164,371 as per the given fractions.

LCM of 164,371 is 60844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2561,7002

GCF of Fractions 2561/164,7002/371 is 1/60844

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

Greatest Common Factor of 2561,7002 By Matching Biggest Common Factor Method

Greatest Common Factor of 2561,7002 By Matching Biggest Common Factor Method

Factors of 2561

List of positive integer factors of 2561 that divides 2561 without a remainder.

1,13,197,2561

Factors of 7002

List of positive integer factors of 7002 that divides 7002 without a remainder.

1,2,3,6,9,18,389,778,1167,2334,3501,7002

Greatest Common Factor

We found the factors 2561,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 2561,7002 is 1.

Lets's calculate LCM of 164,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 60844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60844

Therefore, the GCF of Fractions 2561/164,7002/371 is 1/60844

Least Common Multiple of 164,371 with GCF Formula

Least Common Multiple of 164,371 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 164,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,371) = 1

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

GCF(164,371) x common factors =1 x 1 = 1

LCM(164,371) = ( 164 × 371 ) / 1

LCM(164,371) = 60844 / 1

LCM(164,371) = 60844


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 2561/164, 7002/371

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 2561/164, 7002/371?

Answer: GCF of Numerators as per given numbers 2561/164, 7002/371 is

GCF of Numerators i.e. for 2561,7002 is 1

LCM of denominators i.e. for 164,371 is 60844.

Thus, GCF of Fractions is 1/60844.Finally, GCF of Fractions for 2561/164, 7002/371 is 1/60844.