Greatest Common Factor of 85/276, 766/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/276, 766/543

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 85/276,766/543

Given fractions are 85/276,766/543

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 85,766

Greatest Common Factor of Numerators i.e. GCF of 85,766 is 1 .

LCM of Denominators means LCM of 276,543 as per the given fractions.

LCM of 276,543 is 49956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,766

GCF of Fractions 85/276,766/543 is 1/49956

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

Greatest Common Factor of 85,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,766 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 85,766 . The biggest common factor number is the GCF number.
So the greatest common factor 85,766 is 1.

Lets's calculate LCM of 276,543

3 276, 543
92, 181

∴ So the LCM of the given numbers is 3 x 92 x 181 = 49956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49956

Therefore, the GCF of Fractions 85/276,766/543 is 1/49956

Least Common Multiple of 276,543 with GCF Formula

Least Common Multiple of 276,543 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 276,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,543) = 3

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

GCF(276,543) x common factors =3 x 1 = 3

LCM(276,543) = ( 276 × 543 ) / 3

LCM(276,543) = 149868 / 3

LCM(276,543) = 49956


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 85/276, 766/543

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 85/276, 766/543?

Answer: GCF of Numerators as per given numbers 85/276, 766/543 is

GCF of Numerators i.e. for 85,766 is 1

LCM of denominators i.e. for 276,543 is 49956.

Thus, GCF of Fractions is 1/49956.Finally, GCF of Fractions for 85/276, 766/543 is 1/49956.