Greatest Common Factor of 7942/318, 2867/7361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7942/318, 2867/7361

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 7942/318,2867/7361

Given fractions are 7942/318,2867/7361

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 7942,2867

Greatest Common Factor of Numerators i.e. GCF of 7942,2867 is 1 .

LCM of Denominators means LCM of 318,7361 as per the given fractions.

LCM of 318,7361 is 2340798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7942,2867

GCF of Fractions 7942/318,2867/7361 is 1/2340798

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

Greatest Common Factor of 7942,2867 By Matching Biggest Common Factor Method

Greatest Common Factor of 7942,2867 By Matching Biggest Common Factor Method

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Factors of 2867

List of positive integer factors of 2867 that divides 2867 without a remainder.

1,47,61,2867

Greatest Common Factor

We found the factors 7942,2867 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,2867 is 1.

Lets's calculate LCM of 318,7361

Given numbers has no common factors except 1. So, there LCM is their product i.e 2340798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2340798

Therefore, the GCF of Fractions 7942/318,2867/7361 is 1/2340798

Least Common Multiple of 318,7361 with GCF Formula

Least Common Multiple of 318,7361 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 318,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,7361) = 1

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

GCF(318,7361) x common factors =1 x 1 = 1

LCM(318,7361) = ( 318 × 7361 ) / 1

LCM(318,7361) = 2340798 / 1

LCM(318,7361) = 2340798


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 7942/318, 2867/7361

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 7942/318, 2867/7361?

Answer: GCF of Numerators as per given numbers 7942/318, 2867/7361 is

GCF of Numerators i.e. for 7942,2867 is 1

LCM of denominators i.e. for 318,7361 is 2340798.

Thus, GCF of Fractions is 1/2340798.Finally, GCF of Fractions for 7942/318, 2867/7361 is 1/2340798.