Greatest Common Factor of 85/500, 909/642, 610/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/500, 909/642, 610/650

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 85/500,909/642,610/650

Given fractions are 85/500,909/642,610/650

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 85,909,610

Greatest Common Factor of Numerators i.e. GCF of 85,909,610 is 1 .

LCM of Denominators means LCM of 500,642,650 as per the given fractions.

LCM of 500,642,650 is 2086500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,909,610

GCF of Fractions 85/500,909/642,610/650 is 1/2086500

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

Greatest Common Factor of 85,909,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,909,610 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 85,909,610 . The biggest common factor number is the GCF number.
So the greatest common factor 85,909,610 is 1.

Lets's calculate LCM of 500,642,650

2 500, 642, 650
5 250, 321, 325
5 50, 321, 65
10, 321, 13

∴ So the LCM of the given numbers is 2 x 5 x 5 x 10 x 321 x 13 = 2086500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2086500

Therefore, the GCF of Fractions 85/500,909/642,610/650 is 1/2086500

Least Common Multiple of 500,642,650 with GCF Formula

Least Common Multiple of 500,642,650 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 500,642,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,642,650) = 2

common factors(in case of two or more numbers have common factors) = 50

GCF(500,642,650) x common factors =2 x 50 = 100

LCM(500,642,650) = ( 500 × 642 × 650 ) / 100

LCM(500,642,650) = 208650000 / 100

LCM(500,642,650) = 2086500


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 85/500, 909/642, 610/650

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 85/500, 909/642, 610/650?

Answer: GCF of Numerators as per given numbers 85/500, 909/642, 610/650 is

GCF of Numerators i.e. for 85,909,610 is 1

LCM of denominators i.e. for 500,642,650 is 2086500.

Thus, GCF of Fractions is 1/2086500.Finally, GCF of Fractions for 85/500, 909/642, 610/650 is 1/2086500.