Greatest Common Factor of 3657/485, 3171/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3657/485, 3171/547

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 3657/485,3171/547

Given fractions are 3657/485,3171/547

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 3657,3171

Greatest Common Factor of Numerators i.e. GCF of 3657,3171 is 3 .

LCM of Denominators means LCM of 485,547 as per the given fractions.

LCM of 485,547 is 265295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3657,3171

GCF of Fractions 3657/485,3171/547 is 3/265295

3 3657, 3171
1219, 1057

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

Greatest Common Factor of 3657,3171 By Matching Biggest Common Factor Method

Greatest Common Factor of 3657,3171 By Matching Biggest Common Factor Method

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

Greatest Common Factor

We found the factors 3657,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 3657,3171 is 3.

Lets's calculate LCM of 485,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 265295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/265295

Therefore, the GCF of Fractions 3657/485,3171/547 is 3/265295

Least Common Multiple of 485,547 with GCF Formula

Least Common Multiple of 485,547 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 485,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,547) = 1

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

GCF(485,547) x common factors =1 x 1 = 1

LCM(485,547) = ( 485 × 547 ) / 1

LCM(485,547) = 265295 / 1

LCM(485,547) = 265295


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 3657/485, 3171/547

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 3657/485, 3171/547?

Answer: GCF of Numerators as per given numbers 3657/485, 3171/547 is

GCF of Numerators i.e. for 3657,3171 is 3

LCM of denominators i.e. for 485,547 is 265295.

Thus, GCF of Fractions is 3/265295.Finally, GCF of Fractions for 3657/485, 3171/547 is 3/265295.