Greatest Common Factor of 972/68, 756/83, 955/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/68, 756/83, 955/84

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 972/68,756/83,955/84

Given fractions are 972/68,756/83,955/84

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 972,756,955

Greatest Common Factor of Numerators i.e. GCF of 972,756,955 is 1 .

LCM of Denominators means LCM of 68,83,84 as per the given fractions.

LCM of 68,83,84 is 118524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,756,955

GCF of Fractions 972/68,756/83,955/84 is 1/118524

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

Greatest Common Factor of 972,756,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,756,955 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 972,756,955 . The biggest common factor number is the GCF number.
So the greatest common factor 972,756,955 is 1.

Lets's calculate LCM of 68,83,84

2 68, 83, 84
2 34, 83, 42
17, 83, 21

∴ So the LCM of the given numbers is 2 x 2 x 17 x 83 x 21 = 118524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118524

Therefore, the GCF of Fractions 972/68,756/83,955/84 is 1/118524

Least Common Multiple of 68,83,84 with GCF Formula

Least Common Multiple of 68,83,84 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 68,83,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,83,84) = 1

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

GCF(68,83,84) x common factors =1 x 4 = 4

LCM(68,83,84) = ( 68 × 83 × 84 ) / 4

LCM(68,83,84) = 474096 / 4

LCM(68,83,84) = 118524


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 972/68, 756/83, 955/84

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 972/68, 756/83, 955/84?

Answer: GCF of Numerators as per given numbers 972/68, 756/83, 955/84 is

GCF of Numerators i.e. for 972,756,955 is 1

LCM of denominators i.e. for 68,83,84 is 118524.

Thus, GCF of Fractions is 1/118524.Finally, GCF of Fractions for 972/68, 756/83, 955/84 is 1/118524.