Greatest Common Factor of 771/79, 942/99, 556/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/79, 942/99, 556/231

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 771/79,942/99,556/231

Given fractions are 771/79,942/99,556/231

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 771,942,556

Greatest Common Factor of Numerators i.e. GCF of 771,942,556 is 1 .

LCM of Denominators means LCM of 79,99,231 as per the given fractions.

LCM of 79,99,231 is 54747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,942,556

GCF of Fractions 771/79,942/99,556/231 is 1/54747

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

Greatest Common Factor of 771,942,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,942,556 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 771,942,556 . The biggest common factor number is the GCF number.
So the greatest common factor 771,942,556 is 1.

Lets's calculate LCM of 79,99,231

3 79, 99, 231
11 79, 33, 77
79, 3, 7

∴ So the LCM of the given numbers is 3 x 11 x 79 x 3 x 7 = 54747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54747

Therefore, the GCF of Fractions 771/79,942/99,556/231 is 1/54747

Least Common Multiple of 79,99,231 with GCF Formula

Least Common Multiple of 79,99,231 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 79,99,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,99,231) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(79,99,231) x common factors =1 x 33 = 33

LCM(79,99,231) = ( 79 × 99 × 231 ) / 33

LCM(79,99,231) = 1806651 / 33

LCM(79,99,231) = 54747


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 771/79, 942/99, 556/231

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 771/79, 942/99, 556/231?

Answer: GCF of Numerators as per given numbers 771/79, 942/99, 556/231 is

GCF of Numerators i.e. for 771,942,556 is 1

LCM of denominators i.e. for 79,99,231 is 54747.

Thus, GCF of Fractions is 1/54747.Finally, GCF of Fractions for 771/79, 942/99, 556/231 is 1/54747.