Greatest Common Factor of 410/91, 130/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/91, 130/878

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 410/91,130/878

Given fractions are 410/91,130/878

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 410,130

Greatest Common Factor of Numerators i.e. GCF of 410,130 is 10 .

LCM of Denominators means LCM of 91,878 as per the given fractions.

LCM of 91,878 is 79898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,130

GCF of Fractions 410/91,130/878 is 10/79898

2 410, 130
5 205, 65
41, 13

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 410,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,130 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 410,130 . The biggest common factor number is the GCF number.
So the greatest common factor 410,130 is 10.

Lets's calculate LCM of 91,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 79898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/79898

Therefore, the GCF of Fractions 410/91,130/878 is 10/79898

Least Common Multiple of 91,878 with GCF Formula

Least Common Multiple of 91,878 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 91,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,878) = 1

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

GCF(91,878) x common factors =1 x 1 = 1

LCM(91,878) = ( 91 × 878 ) / 1

LCM(91,878) = 79898 / 1

LCM(91,878) = 79898


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 410/91, 130/878

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 410/91, 130/878?

Answer: GCF of Numerators as per given numbers 410/91, 130/878 is

GCF of Numerators i.e. for 410,130 is 10

LCM of denominators i.e. for 91,878 is 79898.

Thus, GCF of Fractions is 10/79898.Finally, GCF of Fractions for 410/91, 130/878 is 10/79898.