Greatest Common Factor of 85/54, 91/102, 475/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/54, 91/102, 475/218

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 85/54,91/102,475/218

Given fractions are 85/54,91/102,475/218

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 85,91,475

Greatest Common Factor of Numerators i.e. GCF of 85,91,475 is 1 .

LCM of Denominators means LCM of 54,102,218 as per the given fractions.

LCM of 54,102,218 is 100062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,91,475

GCF of Fractions 85/54,91/102,475/218 is 1/100062

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

Greatest Common Factor of 85,91,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,91,475 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 85,91,475 . The biggest common factor number is the GCF number.
So the greatest common factor 85,91,475 is 1.

Lets's calculate LCM of 54,102,218

2 54, 102, 218
3 27, 51, 109
9, 17, 109

∴ So the LCM of the given numbers is 2 x 3 x 9 x 17 x 109 = 100062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100062

Therefore, the GCF of Fractions 85/54,91/102,475/218 is 1/100062

Least Common Multiple of 54,102,218 with GCF Formula

Least Common Multiple of 54,102,218 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 54,102,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,102,218) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(54,102,218) x common factors =2 x 6 = 12

LCM(54,102,218) = ( 54 × 102 × 218 ) / 12

LCM(54,102,218) = 1200744 / 12

LCM(54,102,218) = 100062


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 85/54, 91/102, 475/218

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 85/54, 91/102, 475/218?

Answer: GCF of Numerators as per given numbers 85/54, 91/102, 475/218 is

GCF of Numerators i.e. for 85,91,475 is 1

LCM of denominators i.e. for 54,102,218 is 100062.

Thus, GCF of Fractions is 1/100062.Finally, GCF of Fractions for 85/54, 91/102, 475/218 is 1/100062.