Greatest Common Factor of 3775/418, 8771/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3775/418, 8771/564

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 3775/418,8771/564

Given fractions are 3775/418,8771/564

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 3775,8771

Greatest Common Factor of Numerators i.e. GCF of 3775,8771 is 1 .

LCM of Denominators means LCM of 418,564 as per the given fractions.

LCM of 418,564 is 117876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3775,8771

GCF of Fractions 3775/418,8771/564 is 1/117876

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

Greatest Common Factor of 3775,8771 By Matching Biggest Common Factor Method

Greatest Common Factor of 3775,8771 By Matching Biggest Common Factor Method

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1,5,25,151,755,3775

Factors of 8771

List of positive integer factors of 8771 that divides 8771 without a remainder.

1,7,49,179,1253,8771

Greatest Common Factor

We found the factors 3775,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 3775,8771 is 1.

Lets's calculate LCM of 418,564

2 418, 564
209, 282

∴ So the LCM of the given numbers is 2 x 209 x 282 = 117876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117876

Therefore, the GCF of Fractions 3775/418,8771/564 is 1/117876

Least Common Multiple of 418,564 with GCF Formula

Least Common Multiple of 418,564 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 418,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,564) = 2

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

GCF(418,564) x common factors =2 x 1 = 2

LCM(418,564) = ( 418 × 564 ) / 2

LCM(418,564) = 235752 / 2

LCM(418,564) = 117876


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 3775/418, 8771/564

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 3775/418, 8771/564?

Answer: GCF of Numerators as per given numbers 3775/418, 8771/564 is

GCF of Numerators i.e. for 3775,8771 is 1

LCM of denominators i.e. for 418,564 is 117876.

Thus, GCF of Fractions is 1/117876.Finally, GCF of Fractions for 3775/418, 8771/564 is 1/117876.