Greatest Common Factor of 650/859, 524/811, 520/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 650/859, 524/811, 520/763

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 650/859,524/811,520/763

Given fractions are 650/859,524/811,520/763

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 650,524,520

Greatest Common Factor of Numerators i.e. GCF of 650,524,520 is 2 .

LCM of Denominators means LCM of 859,811,763 as per the given fractions.

LCM of 859,811,763 is 531543187 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 650,524,520

GCF of Fractions 650/859,524/811,520/763 is 2/531543187

2 650, 524, 520
325, 262, 260

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 650,524,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,524,520 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 650,524,520 . The biggest common factor number is the GCF number.
So the greatest common factor 650,524,520 is 2.

Lets's calculate LCM of 859,811,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 531543187

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531543187

Therefore, the GCF of Fractions 650/859,524/811,520/763 is 2/531543187

Least Common Multiple of 859,811,763 with GCF Formula

Least Common Multiple of 859,811,763 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 859,811,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,811,763) = 1

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

GCF(859,811,763) x common factors =1 x 1 = 1

LCM(859,811,763) = ( 859 × 811 × 763 ) / 1

LCM(859,811,763) = 531543187 / 1

LCM(859,811,763) = 531543187


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 650/859, 524/811, 520/763

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 650/859, 524/811, 520/763?

Answer: GCF of Numerators as per given numbers 650/859, 524/811, 520/763 is

GCF of Numerators i.e. for 650,524,520 is 2

LCM of denominators i.e. for 859,811,763 is 531543187.

Thus, GCF of Fractions is 2/531543187.Finally, GCF of Fractions for 650/859, 524/811, 520/763 is 2/531543187.