Greatest Common Factor of 84/15, 21/76, 973/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/15, 21/76, 973/856

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 84/15,21/76,973/856

Given fractions are 84/15,21/76,973/856

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 84,21,973

Greatest Common Factor of Numerators i.e. GCF of 84,21,973 is 7 .

LCM of Denominators means LCM of 15,76,856 as per the given fractions.

LCM of 15,76,856 is 243960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,21,973

GCF of Fractions 84/15,21/76,973/856 is 7/243960

7 84, 21, 973
12, 3, 139

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 84,21,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,21,973 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 84,21,973 . The biggest common factor number is the GCF number.
So the greatest common factor 84,21,973 is 7.

Lets's calculate LCM of 15,76,856

2 15, 76, 856
2 15, 38, 428
15, 19, 214

∴ So the LCM of the given numbers is 2 x 2 x 15 x 19 x 214 = 243960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/243960

Therefore, the GCF of Fractions 84/15,21/76,973/856 is 7/243960

Least Common Multiple of 15,76,856 with GCF Formula

Least Common Multiple of 15,76,856 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 15,76,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,76,856) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(15,76,856) x common factors =1 x 4 = 4

LCM(15,76,856) = ( 15 × 76 × 856 ) / 4

LCM(15,76,856) = 975840 / 4

LCM(15,76,856) = 243960


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 84/15, 21/76, 973/856

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 84/15, 21/76, 973/856?

Answer: GCF of Numerators as per given numbers 84/15, 21/76, 973/856 is

GCF of Numerators i.e. for 84,21,973 is 7

LCM of denominators i.e. for 15,76,856 is 243960.

Thus, GCF of Fractions is 7/243960.Finally, GCF of Fractions for 84/15, 21/76, 973/856 is 7/243960.