Greatest Common Factor of 82/910, 789/692, 481/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/910, 789/692, 481/794

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 82/910,789/692,481/794

Given fractions are 82/910,789/692,481/794

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 82,789,481

Greatest Common Factor of Numerators i.e. GCF of 82,789,481 is 1 .

LCM of Denominators means LCM of 910,692,794 as per the given fractions.

LCM of 910,692,794 is 124999420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,789,481

GCF of Fractions 82/910,789/692,481/794 is 1/124999420

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

Greatest Common Factor of 82,789,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,789,481 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 82,789,481 . The biggest common factor number is the GCF number.
So the greatest common factor 82,789,481 is 1.

Lets's calculate LCM of 910,692,794

2 910, 692, 794
455, 346, 397

∴ So the LCM of the given numbers is 2 x 455 x 346 x 397 = 124999420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124999420

Therefore, the GCF of Fractions 82/910,789/692,481/794 is 1/124999420

Least Common Multiple of 910,692,794 with GCF Formula

Least Common Multiple of 910,692,794 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 910,692,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,692,794) = 2

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

GCF(910,692,794) x common factors =2 x 2 = 4

LCM(910,692,794) = ( 910 × 692 × 794 ) / 4

LCM(910,692,794) = 499997680 / 4

LCM(910,692,794) = 124999420


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 82/910, 789/692, 481/794

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 82/910, 789/692, 481/794?

Answer: GCF of Numerators as per given numbers 82/910, 789/692, 481/794 is

GCF of Numerators i.e. for 82,789,481 is 1

LCM of denominators i.e. for 910,692,794 is 124999420.

Thus, GCF of Fractions is 1/124999420.Finally, GCF of Fractions for 82/910, 789/692, 481/794 is 1/124999420.