Greatest Common Factor of 76/57, 95/85, 285/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/57, 95/85, 285/824

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 76/57,95/85,285/824

Given fractions are 76/57,95/85,285/824

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 76,95,285

Greatest Common Factor of Numerators i.e. GCF of 76,95,285 is 19 .

LCM of Denominators means LCM of 57,85,824 as per the given fractions.

LCM of 57,85,824 is 3992280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,95,285

GCF of Fractions 76/57,95/85,285/824 is 19/3992280

19 76, 95, 285
4, 5, 15

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 76,95,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,95,285 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 76,95,285 . The biggest common factor number is the GCF number.
So the greatest common factor 76,95,285 is 19.

Lets's calculate LCM of 57,85,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 3992280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3992280

Therefore, the GCF of Fractions 76/57,95/85,285/824 is 19/3992280

Least Common Multiple of 57,85,824 with GCF Formula

Least Common Multiple of 57,85,824 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 57,85,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,85,824) = 1

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

GCF(57,85,824) x common factors =1 x 1 = 1

LCM(57,85,824) = ( 57 × 85 × 824 ) / 1

LCM(57,85,824) = 3992280 / 1

LCM(57,85,824) = 3992280


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 76/57, 95/85, 285/824

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 76/57, 95/85, 285/824?

Answer: GCF of Numerators as per given numbers 76/57, 95/85, 285/824 is

GCF of Numerators i.e. for 76,95,285 is 19

LCM of denominators i.e. for 57,85,824 is 3992280.

Thus, GCF of Fractions is 19/3992280.Finally, GCF of Fractions for 76/57, 95/85, 285/824 is 19/3992280.