Greatest Common Factor of 85/53, 458/76, 542/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/53, 458/76, 542/475

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 85/53,458/76,542/475

Given fractions are 85/53,458/76,542/475

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 85,458,542

Greatest Common Factor of Numerators i.e. GCF of 85,458,542 is 1 .

LCM of Denominators means LCM of 53,76,475 as per the given fractions.

LCM of 53,76,475 is 100700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,458,542

GCF of Fractions 85/53,458/76,542/475 is 1/100700

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

Greatest Common Factor of 85,458,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,458,542 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 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 85,458,542 . The biggest common factor number is the GCF number.
So the greatest common factor 85,458,542 is 1.

Lets's calculate LCM of 53,76,475

19 53, 76, 475
53, 4, 25

∴ So the LCM of the given numbers is 19 x 53 x 4 x 25 = 100700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100700

Therefore, the GCF of Fractions 85/53,458/76,542/475 is 1/100700

Least Common Multiple of 53,76,475 with GCF Formula

Least Common Multiple of 53,76,475 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 53,76,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,76,475) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(53,76,475) x common factors =1 x 19 = 19

LCM(53,76,475) = ( 53 × 76 × 475 ) / 19

LCM(53,76,475) = 1913300 / 19

LCM(53,76,475) = 100700


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 85/53, 458/76, 542/475

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 85/53, 458/76, 542/475?

Answer: GCF of Numerators as per given numbers 85/53, 458/76, 542/475 is

GCF of Numerators i.e. for 85,458,542 is 1

LCM of denominators i.e. for 53,76,475 is 100700.

Thus, GCF of Fractions is 1/100700.Finally, GCF of Fractions for 85/53, 458/76, 542/475 is 1/100700.