Greatest Common Factor of 77/562, 835/656, 561/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/562, 835/656, 561/709

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 77/562,835/656,561/709

Given fractions are 77/562,835/656,561/709

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 77,835,561

Greatest Common Factor of Numerators i.e. GCF of 77,835,561 is 1 .

LCM of Denominators means LCM of 562,656,709 as per the given fractions.

LCM of 562,656,709 is 130694224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,835,561

GCF of Fractions 77/562,835/656,561/709 is 1/130694224

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

Greatest Common Factor of 77,835,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,835,561 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 77,835,561 . The biggest common factor number is the GCF number.
So the greatest common factor 77,835,561 is 1.

Lets's calculate LCM of 562,656,709

2 562, 656, 709
281, 328, 709

∴ So the LCM of the given numbers is 2 x 281 x 328 x 709 = 130694224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130694224

Therefore, the GCF of Fractions 77/562,835/656,561/709 is 1/130694224

Least Common Multiple of 562,656,709 with GCF Formula

Least Common Multiple of 562,656,709 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 562,656,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,656,709) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(562,656,709) x common factors =1 x 2 = 2

LCM(562,656,709) = ( 562 × 656 × 709 ) / 2

LCM(562,656,709) = 261388448 / 2

LCM(562,656,709) = 130694224


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 77/562, 835/656, 561/709

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 77/562, 835/656, 561/709?

Answer: GCF of Numerators as per given numbers 77/562, 835/656, 561/709 is

GCF of Numerators i.e. for 77,835,561 is 1

LCM of denominators i.e. for 562,656,709 is 130694224.

Thus, GCF of Fractions is 1/130694224.Finally, GCF of Fractions for 77/562, 835/656, 561/709 is 1/130694224.