Greatest Common Factor of 972/867, 9662/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/867, 9662/366

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 972/867,9662/366

Given fractions are 972/867,9662/366

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 972,9662

Greatest Common Factor of Numerators i.e. GCF of 972,9662 is 2 .

LCM of Denominators means LCM of 867,366 as per the given fractions.

LCM of 867,366 is 105774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,9662

GCF of Fractions 972/867,9662/366 is 2/105774

2 972, 9662
486, 4831

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

Greatest Common Factor of 972,9662 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,9662 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 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1,2,4831,9662

Greatest Common Factor

We found the factors 972,9662 . The biggest common factor number is the GCF number.
So the greatest common factor 972,9662 is 2.

Lets's calculate LCM of 867,366

3 867, 366
289, 122

∴ So the LCM of the given numbers is 3 x 289 x 122 = 105774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105774

Therefore, the GCF of Fractions 972/867,9662/366 is 2/105774

Least Common Multiple of 867,366 with GCF Formula

Least Common Multiple of 867,366 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 867,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,366) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(867,366) x common factors =3 x 1 = 3

LCM(867,366) = ( 867 × 366 ) / 3

LCM(867,366) = 317322 / 3

LCM(867,366) = 105774


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 972/867, 9662/366

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 972/867, 9662/366?

Answer: GCF of Numerators as per given numbers 972/867, 9662/366 is

GCF of Numerators i.e. for 972,9662 is 2

LCM of denominators i.e. for 867,366 is 105774.

Thus, GCF of Fractions is 2/105774.Finally, GCF of Fractions for 972/867, 9662/366 is 2/105774.