Greatest Common Factor of 987/84, 1014/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/84, 1014/315

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 987/84,1014/315

Given fractions are 987/84,1014/315

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 987,1014

Greatest Common Factor of Numerators i.e. GCF of 987,1014 is 3 .

LCM of Denominators means LCM of 84,315 as per the given fractions.

LCM of 84,315 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,1014

GCF of Fractions 987/84,1014/315 is 3/1260

3 987, 1014
329, 338

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

Greatest Common Factor of 987,1014 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,1014 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 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Greatest Common Factor

We found the factors 987,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 987,1014 is 3.

Lets's calculate LCM of 84,315

3 84, 315
7 28, 105
4, 15

∴ So the LCM of the given numbers is 3 x 7 x 4 x 15 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1260

Therefore, the GCF of Fractions 987/84,1014/315 is 3/1260

Least Common Multiple of 84,315 with GCF Formula

Least Common Multiple of 84,315 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 84,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,315) = 21

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

GCF(84,315) x common factors =21 x 1 = 21

LCM(84,315) = ( 84 × 315 ) / 21

LCM(84,315) = 26460 / 21

LCM(84,315) = 1260


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 987/84, 1014/315

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 987/84, 1014/315?

Answer: GCF of Numerators as per given numbers 987/84, 1014/315 is

GCF of Numerators i.e. for 987,1014 is 3

LCM of denominators i.e. for 84,315 is 1260.

Thus, GCF of Fractions is 3/1260.Finally, GCF of Fractions for 987/84, 1014/315 is 3/1260.