Greatest Common Factor of 422/782, 520/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 422/782, 520/828

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 422/782,520/828

Given fractions are 422/782,520/828

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 422,520

Greatest Common Factor of Numerators i.e. GCF of 422,520 is 2 .

LCM of Denominators means LCM of 782,828 as per the given fractions.

LCM of 782,828 is 14076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 422,520

GCF of Fractions 422/782,520/828 is 2/14076

2 422, 520
211, 260

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

Greatest Common Factor of 422,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,520 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

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 422,520 . The biggest common factor number is the GCF number.
So the greatest common factor 422,520 is 2.

Lets's calculate LCM of 782,828

2 782, 828
23 391, 414
17, 18

∴ So the LCM of the given numbers is 2 x 23 x 17 x 18 = 14076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14076

Therefore, the GCF of Fractions 422/782,520/828 is 2/14076

Least Common Multiple of 782,828 with GCF Formula

Least Common Multiple of 782,828 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 782,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,828) = 46

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

GCF(782,828) x common factors =46 x 1 = 46

LCM(782,828) = ( 782 × 828 ) / 46

LCM(782,828) = 647496 / 46

LCM(782,828) = 14076


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 422/782, 520/828

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 422/782, 520/828?

Answer: GCF of Numerators as per given numbers 422/782, 520/828 is

GCF of Numerators i.e. for 422,520 is 2

LCM of denominators i.e. for 782,828 is 14076.

Thus, GCF of Fractions is 2/14076.Finally, GCF of Fractions for 422/782, 520/828 is 2/14076.