Greatest Common Factor of 8775/619, 8972/6893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8775/619, 8972/6893

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 8775/619,8972/6893

Given fractions are 8775/619,8972/6893

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 8775,8972

Greatest Common Factor of Numerators i.e. GCF of 8775,8972 is 1 .

LCM of Denominators means LCM of 619,6893 as per the given fractions.

LCM of 619,6893 is 4266767 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8775,8972

GCF of Fractions 8775/619,8972/6893 is 1/4266767

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

Greatest Common Factor of 8775,8972 By Matching Biggest Common Factor Method

Greatest Common Factor of 8775,8972 By Matching Biggest Common Factor Method

Factors of 8775

List of positive integer factors of 8775 that divides 8775 without a remainder.

1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1,2,4,2243,4486,8972

Greatest Common Factor

We found the factors 8775,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 8775,8972 is 1.

Lets's calculate LCM of 619,6893

Given numbers has no common factors except 1. So, there LCM is their product i.e 4266767

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4266767

Therefore, the GCF of Fractions 8775/619,8972/6893 is 1/4266767

Least Common Multiple of 619,6893 with GCF Formula

Least Common Multiple of 619,6893 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 619,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,6893) = 1

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

GCF(619,6893) x common factors =1 x 1 = 1

LCM(619,6893) = ( 619 × 6893 ) / 1

LCM(619,6893) = 4266767 / 1

LCM(619,6893) = 4266767


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 8775/619, 8972/6893

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 8775/619, 8972/6893?

Answer: GCF of Numerators as per given numbers 8775/619, 8972/6893 is

GCF of Numerators i.e. for 8775,8972 is 1

LCM of denominators i.e. for 619,6893 is 4266767.

Thus, GCF of Fractions is 1/4266767.Finally, GCF of Fractions for 8775/619, 8972/6893 is 1/4266767.