Greatest Common Factor of 987/62, 996/75, 774/36

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/62, 996/75, 774/36

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 987/62,996/75,774/36

Given fractions are 987/62,996/75,774/36

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 987,996,774

Greatest Common Factor of Numerators i.e. GCF of 987,996,774 is 3 .

LCM of Denominators means LCM of 62,75,36 as per the given fractions.

LCM of 62,75,36 is 27900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,996,774

GCF of Fractions 987/62,996/75,774/36 is 3/27900

3 987, 996, 774
329, 332, 258

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 987,996,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,996,774 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 987,996,774 . The biggest common factor number is the GCF number.
So the greatest common factor 987,996,774 is 3.

Lets's calculate LCM of 62,75,36

2 62, 75, 36
3 31, 75, 18
31, 25, 6

∴ So the LCM of the given numbers is 2 x 3 x 31 x 25 x 6 = 27900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27900

Therefore, the GCF of Fractions 987/62,996/75,774/36 is 3/27900

Least Common Multiple of 62,75,36 with GCF Formula

Least Common Multiple of 62,75,36 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 62,75,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,75,36) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(62,75,36) x common factors =1 x 6 = 6

LCM(62,75,36) = ( 62 × 75 × 36 ) / 6

LCM(62,75,36) = 167400 / 6

LCM(62,75,36) = 27900


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 987/62, 996/75, 774/36

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 987/62, 996/75, 774/36?

Answer: GCF of Numerators as per given numbers 987/62, 996/75, 774/36 is

GCF of Numerators i.e. for 987,996,774 is 3

LCM of denominators i.e. for 62,75,36 is 27900.

Thus, GCF of Fractions is 3/27900.Finally, GCF of Fractions for 987/62, 996/75, 774/36 is 3/27900.