Greatest Common Factor of 963/60, 878/1916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 963/60, 878/1916

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 963/60,878/1916

Given fractions are 963/60,878/1916

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 963,878

Greatest Common Factor of Numerators i.e. GCF of 963,878 is 1 .

LCM of Denominators means LCM of 60,1916 as per the given fractions.

LCM of 60,1916 is 28740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 963,878

GCF of Fractions 963/60,878/1916 is 1/28740

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

Greatest Common Factor of 963,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,878 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 963,878 . The biggest common factor number is the GCF number.
So the greatest common factor 963,878 is 1.

Lets's calculate LCM of 60,1916

2 60, 1916
2 30, 958
15, 479

∴ So the LCM of the given numbers is 2 x 2 x 15 x 479 = 28740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28740

Therefore, the GCF of Fractions 963/60,878/1916 is 1/28740

Least Common Multiple of 60,1916 with GCF Formula

Least Common Multiple of 60,1916 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 60,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,1916) = 4

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

GCF(60,1916) x common factors =4 x 1 = 4

LCM(60,1916) = ( 60 × 1916 ) / 4

LCM(60,1916) = 114960 / 4

LCM(60,1916) = 28740


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 963/60, 878/1916

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 963/60, 878/1916?

Answer: GCF of Numerators as per given numbers 963/60, 878/1916 is

GCF of Numerators i.e. for 963,878 is 1

LCM of denominators i.e. for 60,1916 is 28740.

Thus, GCF of Fractions is 1/28740.Finally, GCF of Fractions for 963/60, 878/1916 is 1/28740.