Greatest Common Factor of 1963/25, 2791/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1963/25, 2791/975

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 1963/25,2791/975

Given fractions are 1963/25,2791/975

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 1963,2791

Greatest Common Factor of Numerators i.e. GCF of 1963,2791 is 1 .

LCM of Denominators means LCM of 25,975 as per the given fractions.

LCM of 25,975 is 975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1963,2791

GCF of Fractions 1963/25,2791/975 is 1/975

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

Greatest Common Factor of 1963,2791 By Matching Biggest Common Factor Method

Greatest Common Factor of 1963,2791 By Matching Biggest Common Factor Method

Factors of 1963

List of positive integer factors of 1963 that divides 1963 without a remainder.

1,13,151,1963

Factors of 2791

List of positive integer factors of 2791 that divides 2791 without a remainder.

1,2791

Greatest Common Factor

We found the factors 1963,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 1963,2791 is 1.

Lets's calculate LCM of 25,975

5 25, 975
5 5, 195
1, 39

∴ So the LCM of the given numbers is 5 x 5 x 1 x 39 = 975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975

Therefore, the GCF of Fractions 1963/25,2791/975 is 1/975

Least Common Multiple of 25,975 with GCF Formula

Least Common Multiple of 25,975 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 25,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,975) = 25

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

GCF(25,975) x common factors =25 x 1 = 25

LCM(25,975) = ( 25 × 975 ) / 25

LCM(25,975) = 24375 / 25

LCM(25,975) = 975


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 1963/25, 2791/975

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 1963/25, 2791/975?

Answer: GCF of Numerators as per given numbers 1963/25, 2791/975 is

GCF of Numerators i.e. for 1963,2791 is 1

LCM of denominators i.e. for 25,975 is 975.

Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 1963/25, 2791/975 is 1/975.