Greatest Common Factor of 84/75, 84/27, 538/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/75, 84/27, 538/685

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 84/75,84/27,538/685

Given fractions are 84/75,84/27,538/685

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 84,84,538

Greatest Common Factor of Numerators i.e. GCF of 84,84,538 is 2 .

LCM of Denominators means LCM of 75,27,685 as per the given fractions.

LCM of 75,27,685 is 92475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,84,538

GCF of Fractions 84/75,84/27,538/685 is 2/92475

2 84, 84, 538
42, 42, 269

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 84,84,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,84,538 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 84,84,538 . The biggest common factor number is the GCF number.
So the greatest common factor 84,84,538 is 2.

Lets's calculate LCM of 75,27,685

3 75, 27, 685
5 25, 9, 685
5, 9, 137

∴ So the LCM of the given numbers is 3 x 5 x 5 x 9 x 137 = 92475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92475

Therefore, the GCF of Fractions 84/75,84/27,538/685 is 2/92475

Least Common Multiple of 75,27,685 with GCF Formula

Least Common Multiple of 75,27,685 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 75,27,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,27,685) = 1

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

GCF(75,27,685) x common factors =1 x 15 = 15

LCM(75,27,685) = ( 75 × 27 × 685 ) / 15

LCM(75,27,685) = 1387125 / 15

LCM(75,27,685) = 92475


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 84/75, 84/27, 538/685

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 84/75, 84/27, 538/685?

Answer: GCF of Numerators as per given numbers 84/75, 84/27, 538/685 is

GCF of Numerators i.e. for 84,84,538 is 2

LCM of denominators i.e. for 75,27,685 is 92475.

Thus, GCF of Fractions is 2/92475.Finally, GCF of Fractions for 84/75, 84/27, 538/685 is 2/92475.