Greatest Common Factor of 752/618, 284/580, 357/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/618, 284/580, 357/812

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 752/618,284/580,357/812

Given fractions are 752/618,284/580,357/812

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 752,284,357

Greatest Common Factor of Numerators i.e. GCF of 752,284,357 is 1 .

LCM of Denominators means LCM of 618,580,812 as per the given fractions.

LCM of 618,580,812 is 1254540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,284,357

GCF of Fractions 752/618,284/580,357/812 is 1/1254540

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

Greatest Common Factor of 752,284,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,284,357 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 752,284,357 . The biggest common factor number is the GCF number.
So the greatest common factor 752,284,357 is 1.

Lets's calculate LCM of 618,580,812

2 618, 580, 812
2 309, 290, 406
29 309, 145, 203
309, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 29 x 309 x 5 x 7 = 1254540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1254540

Therefore, the GCF of Fractions 752/618,284/580,357/812 is 1/1254540

Least Common Multiple of 618,580,812 with GCF Formula

Least Common Multiple of 618,580,812 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 618,580,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,580,812) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(618,580,812) x common factors =2 x 116 = 232

LCM(618,580,812) = ( 618 × 580 × 812 ) / 232

LCM(618,580,812) = 291053280 / 232

LCM(618,580,812) = 1254540


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 752/618, 284/580, 357/812

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 752/618, 284/580, 357/812?

Answer: GCF of Numerators as per given numbers 752/618, 284/580, 357/812 is

GCF of Numerators i.e. for 752,284,357 is 1

LCM of denominators i.e. for 618,580,812 is 1254540.

Thus, GCF of Fractions is 1/1254540.Finally, GCF of Fractions for 752/618, 284/580, 357/812 is 1/1254540.