Greatest Common Factor of 512/58, 828/21, 239/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/58, 828/21, 239/763

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 512/58,828/21,239/763

Given fractions are 512/58,828/21,239/763

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 512,828,239

Greatest Common Factor of Numerators i.e. GCF of 512,828,239 is 1 .

LCM of Denominators means LCM of 58,21,763 as per the given fractions.

LCM of 58,21,763 is 132762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,828,239

GCF of Fractions 512/58,828/21,239/763 is 1/132762

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

Greatest Common Factor of 512,828,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,828,239 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 512,828,239 . The biggest common factor number is the GCF number.
So the greatest common factor 512,828,239 is 1.

Lets's calculate LCM of 58,21,763

7 58, 21, 763
58, 3, 109

∴ So the LCM of the given numbers is 7 x 58 x 3 x 109 = 132762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132762

Therefore, the GCF of Fractions 512/58,828/21,239/763 is 1/132762

Least Common Multiple of 58,21,763 with GCF Formula

Least Common Multiple of 58,21,763 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 58,21,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,21,763) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(58,21,763) x common factors =1 x 7 = 7

LCM(58,21,763) = ( 58 × 21 × 763 ) / 7

LCM(58,21,763) = 929334 / 7

LCM(58,21,763) = 132762


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 512/58, 828/21, 239/763

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 512/58, 828/21, 239/763?

Answer: GCF of Numerators as per given numbers 512/58, 828/21, 239/763 is

GCF of Numerators i.e. for 512,828,239 is 1

LCM of denominators i.e. for 58,21,763 is 132762.

Thus, GCF of Fractions is 1/132762.Finally, GCF of Fractions for 512/58, 828/21, 239/763 is 1/132762.