Greatest Common Factor of 565/772, 7142/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 565/772, 7142/711

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 565/772,7142/711

Given fractions are 565/772,7142/711

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 565,7142

Greatest Common Factor of Numerators i.e. GCF of 565,7142 is 1 .

LCM of Denominators means LCM of 772,711 as per the given fractions.

LCM of 772,711 is 548892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 565,7142

GCF of Fractions 565/772,7142/711 is 1/548892

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

Greatest Common Factor of 565,7142 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,7142 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 7142

List of positive integer factors of 7142 that divides 7142 without a remainder.

1,2,3571,7142

Greatest Common Factor

We found the factors 565,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 565,7142 is 1.

Lets's calculate LCM of 772,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 548892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548892

Therefore, the GCF of Fractions 565/772,7142/711 is 1/548892

Least Common Multiple of 772,711 with GCF Formula

Least Common Multiple of 772,711 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 772,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,711) = 1

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

GCF(772,711) x common factors =1 x 1 = 1

LCM(772,711) = ( 772 × 711 ) / 1

LCM(772,711) = 548892 / 1

LCM(772,711) = 548892


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 565/772, 7142/711

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 565/772, 7142/711?

Answer: GCF of Numerators as per given numbers 565/772, 7142/711 is

GCF of Numerators i.e. for 565,7142 is 1

LCM of denominators i.e. for 772,711 is 548892.

Thus, GCF of Fractions is 1/548892.Finally, GCF of Fractions for 565/772, 7142/711 is 1/548892.