Greatest Common Factor of 975/215, 1963/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/215, 1963/459

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 975/215,1963/459

Given fractions are 975/215,1963/459

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 975,1963

Greatest Common Factor of Numerators i.e. GCF of 975,1963 is 13 .

LCM of Denominators means LCM of 215,459 as per the given fractions.

LCM of 215,459 is 98685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,1963

GCF of Fractions 975/215,1963/459 is 13/98685

13 975, 1963
75, 151

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 975,1963 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,1963 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 1963

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

1,13,151,1963

Greatest Common Factor

We found the factors 975,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 975,1963 is 13.

Lets's calculate LCM of 215,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 98685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/98685

Therefore, the GCF of Fractions 975/215,1963/459 is 13/98685

Least Common Multiple of 215,459 with GCF Formula

Least Common Multiple of 215,459 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 215,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,459) = 1

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

GCF(215,459) x common factors =1 x 1 = 1

LCM(215,459) = ( 215 × 459 ) / 1

LCM(215,459) = 98685 / 1

LCM(215,459) = 98685


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 975/215, 1963/459

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 975/215, 1963/459?

Answer: GCF of Numerators as per given numbers 975/215, 1963/459 is

GCF of Numerators i.e. for 975,1963 is 13

LCM of denominators i.e. for 215,459 is 98685.

Thus, GCF of Fractions is 13/98685.Finally, GCF of Fractions for 975/215, 1963/459 is 13/98685.