Greatest Common Factor of 79/31, 85/75, 220/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/31, 85/75, 220/405

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 79/31,85/75,220/405

Given fractions are 79/31,85/75,220/405

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 79,85,220

Greatest Common Factor of Numerators i.e. GCF of 79,85,220 is 1 .

LCM of Denominators means LCM of 31,75,405 as per the given fractions.

LCM of 31,75,405 is 62775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,85,220

GCF of Fractions 79/31,85/75,220/405 is 1/62775

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

Greatest Common Factor of 79,85,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,85,220 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 85

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

1,5,17,85

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 79,85,220 . The biggest common factor number is the GCF number.
So the greatest common factor 79,85,220 is 1.

Lets's calculate LCM of 31,75,405

3 31, 75, 405
5 31, 25, 135
31, 5, 27

∴ So the LCM of the given numbers is 3 x 5 x 31 x 5 x 27 = 62775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62775

Therefore, the GCF of Fractions 79/31,85/75,220/405 is 1/62775

Least Common Multiple of 31,75,405 with GCF Formula

Least Common Multiple of 31,75,405 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 31,75,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,75,405) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(31,75,405) x common factors =1 x 15 = 15

LCM(31,75,405) = ( 31 × 75 × 405 ) / 15

LCM(31,75,405) = 941625 / 15

LCM(31,75,405) = 62775


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 79/31, 85/75, 220/405

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 79/31, 85/75, 220/405?

Answer: GCF of Numerators as per given numbers 79/31, 85/75, 220/405 is

GCF of Numerators i.e. for 79,85,220 is 1

LCM of denominators i.e. for 31,75,405 is 62775.

Thus, GCF of Fractions is 1/62775.Finally, GCF of Fractions for 79/31, 85/75, 220/405 is 1/62775.