Greatest Common Factor of 782/664, 860/322, 910/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/664, 860/322, 910/537

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 782/664,860/322,910/537

Given fractions are 782/664,860/322,910/537

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 782,860,910

Greatest Common Factor of Numerators i.e. GCF of 782,860,910 is 2 .

LCM of Denominators means LCM of 664,322,537 as per the given fractions.

LCM of 664,322,537 is 57407448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,860,910

GCF of Fractions 782/664,860/322,910/537 is 2/57407448

2 782, 860, 910
391, 430, 455

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

Greatest Common Factor of 782,860,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,860,910 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 782,860,910 . The biggest common factor number is the GCF number.
So the greatest common factor 782,860,910 is 2.

Lets's calculate LCM of 664,322,537

2 664, 322, 537
332, 161, 537

∴ So the LCM of the given numbers is 2 x 332 x 161 x 537 = 57407448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57407448

Therefore, the GCF of Fractions 782/664,860/322,910/537 is 2/57407448

Least Common Multiple of 664,322,537 with GCF Formula

Least Common Multiple of 664,322,537 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 664,322,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,322,537) = 1

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

GCF(664,322,537) x common factors =1 x 2 = 2

LCM(664,322,537) = ( 664 × 322 × 537 ) / 2

LCM(664,322,537) = 114814896 / 2

LCM(664,322,537) = 57407448


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 782/664, 860/322, 910/537

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 782/664, 860/322, 910/537?

Answer: GCF of Numerators as per given numbers 782/664, 860/322, 910/537 is

GCF of Numerators i.e. for 782,860,910 is 2

LCM of denominators i.e. for 664,322,537 is 57407448.

Thus, GCF of Fractions is 2/57407448.Finally, GCF of Fractions for 782/664, 860/322, 910/537 is 2/57407448.