Greatest Common Factor of 8135/275, 8893/7684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8135/275, 8893/7684

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 8135/275,8893/7684

Given fractions are 8135/275,8893/7684

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 8135,8893

Greatest Common Factor of Numerators i.e. GCF of 8135,8893 is 1 .

LCM of Denominators means LCM of 275,7684 as per the given fractions.

LCM of 275,7684 is 2113100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8135,8893

GCF of Fractions 8135/275,8893/7684 is 1/2113100

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

Greatest Common Factor of 8135,8893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8135,8893 By Matching Biggest Common Factor Method

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Factors of 8893

List of positive integer factors of 8893 that divides 8893 without a remainder.

1,8893

Greatest Common Factor

We found the factors 8135,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 8135,8893 is 1.

Lets's calculate LCM of 275,7684

Given numbers has no common factors except 1. So, there LCM is their product i.e 2113100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2113100

Therefore, the GCF of Fractions 8135/275,8893/7684 is 1/2113100

Least Common Multiple of 275,7684 with GCF Formula

Least Common Multiple of 275,7684 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 275,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,7684) = 1

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

GCF(275,7684) x common factors =1 x 1 = 1

LCM(275,7684) = ( 275 × 7684 ) / 1

LCM(275,7684) = 2113100 / 1

LCM(275,7684) = 2113100


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 8135/275, 8893/7684

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 8135/275, 8893/7684?

Answer: GCF of Numerators as per given numbers 8135/275, 8893/7684 is

GCF of Numerators i.e. for 8135,8893 is 1

LCM of denominators i.e. for 275,7684 is 2113100.

Thus, GCF of Fractions is 1/2113100.Finally, GCF of Fractions for 8135/275, 8893/7684 is 1/2113100.