Greatest Common Factor of 8261/657, 3401/1641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8261/657, 3401/1641

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 8261/657,3401/1641

Given fractions are 8261/657,3401/1641

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 8261,3401

Greatest Common Factor of Numerators i.e. GCF of 8261,3401 is 1 .

LCM of Denominators means LCM of 657,1641 as per the given fractions.

LCM of 657,1641 is 359379 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8261,3401

GCF of Fractions 8261/657,3401/1641 is 1/359379

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

Greatest Common Factor of 8261,3401 By Matching Biggest Common Factor Method

Greatest Common Factor of 8261,3401 By Matching Biggest Common Factor Method

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1,11,751,8261

Factors of 3401

List of positive integer factors of 3401 that divides 3401 without a remainder.

1,19,179,3401

Greatest Common Factor

We found the factors 8261,3401 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,3401 is 1.

Lets's calculate LCM of 657,1641

3 657, 1641
219, 547

∴ So the LCM of the given numbers is 3 x 219 x 547 = 359379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359379

Therefore, the GCF of Fractions 8261/657,3401/1641 is 1/359379

Least Common Multiple of 657,1641 with GCF Formula

Least Common Multiple of 657,1641 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 657,1641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,1641) = 3

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

GCF(657,1641) x common factors =3 x 1 = 3

LCM(657,1641) = ( 657 × 1641 ) / 3

LCM(657,1641) = 1078137 / 3

LCM(657,1641) = 359379


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 8261/657, 3401/1641

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 8261/657, 3401/1641?

Answer: GCF of Numerators as per given numbers 8261/657, 3401/1641 is

GCF of Numerators i.e. for 8261,3401 is 1

LCM of denominators i.e. for 657,1641 is 359379.

Thus, GCF of Fractions is 1/359379.Finally, GCF of Fractions for 8261/657, 3401/1641 is 1/359379.