Greatest Common Factor of 1817/478, 6874/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1817/478, 6874/142

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 1817/478,6874/142

Given fractions are 1817/478,6874/142

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 1817,6874

Greatest Common Factor of Numerators i.e. GCF of 1817,6874 is 1 .

LCM of Denominators means LCM of 478,142 as per the given fractions.

LCM of 478,142 is 33938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1817,6874

GCF of Fractions 1817/478,6874/142 is 1/33938

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

Greatest Common Factor of 1817,6874 By Matching Biggest Common Factor Method

Greatest Common Factor of 1817,6874 By Matching Biggest Common Factor Method

Factors of 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1,23,79,1817

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1,2,7,14,491,982,3437,6874

Greatest Common Factor

We found the factors 1817,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 1817,6874 is 1.

Lets's calculate LCM of 478,142

2 478, 142
239, 71

∴ So the LCM of the given numbers is 2 x 239 x 71 = 33938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33938

Therefore, the GCF of Fractions 1817/478,6874/142 is 1/33938

Least Common Multiple of 478,142 with GCF Formula

Least Common Multiple of 478,142 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 478,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,142) = 2

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

GCF(478,142) x common factors =2 x 1 = 2

LCM(478,142) = ( 478 × 142 ) / 2

LCM(478,142) = 67876 / 2

LCM(478,142) = 33938


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 1817/478, 6874/142

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 1817/478, 6874/142?

Answer: GCF of Numerators as per given numbers 1817/478, 6874/142 is

GCF of Numerators i.e. for 1817,6874 is 1

LCM of denominators i.e. for 478,142 is 33938.

Thus, GCF of Fractions is 1/33938.Finally, GCF of Fractions for 1817/478, 6874/142 is 1/33938.