Greatest Common Factor of 84/157, 385/983, 273/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/157, 385/983, 273/983

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 84/157,385/983,273/983

Given fractions are 84/157,385/983,273/983

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 84,385,273

Greatest Common Factor of Numerators i.e. GCF of 84,385,273 is 7 .

LCM of Denominators means LCM of 157,983,983 as per the given fractions.

LCM of 157,983,983 is 154331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,385,273

GCF of Fractions 84/157,385/983,273/983 is 7/154331

7 84, 385, 273
12, 55, 39

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

Greatest Common Factor of 84,385,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,385,273 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 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 84,385,273 . The biggest common factor number is the GCF number.
So the greatest common factor 84,385,273 is 7.

Lets's calculate LCM of 157,983,983

983 157, 983, 983
157, 1, 1

∴ So the LCM of the given numbers is 983 x 157 x 1 x 1 = 154331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/154331

Therefore, the GCF of Fractions 84/157,385/983,273/983 is 7/154331

Least Common Multiple of 157,983,983 with GCF Formula

Least Common Multiple of 157,983,983 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 157,983,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,983,983) = 1

common factors(in case of two or more numbers have common factors) = 983

GCF(157,983,983) x common factors =1 x 983 = 983

LCM(157,983,983) = ( 157 × 983 × 983 ) / 983

LCM(157,983,983) = 151707373 / 983

LCM(157,983,983) = 154331


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 84/157, 385/983, 273/983

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 84/157, 385/983, 273/983?

Answer: GCF of Numerators as per given numbers 84/157, 385/983, 273/983 is

GCF of Numerators i.e. for 84,385,273 is 7

LCM of denominators i.e. for 157,983,983 is 154331.

Thus, GCF of Fractions is 7/154331.Finally, GCF of Fractions for 84/157, 385/983, 273/983 is 7/154331.