Greatest Common Factor of 5969/365, 7978/7191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5969/365, 7978/7191

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 5969/365,7978/7191

Given fractions are 5969/365,7978/7191

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 5969,7978

Greatest Common Factor of Numerators i.e. GCF of 5969,7978 is 1 .

LCM of Denominators means LCM of 365,7191 as per the given fractions.

LCM of 365,7191 is 2624715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5969,7978

GCF of Fractions 5969/365,7978/7191 is 1/2624715

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

Greatest Common Factor of 5969,7978 By Matching Biggest Common Factor Method

Greatest Common Factor of 5969,7978 By Matching Biggest Common Factor Method

Factors of 5969

List of positive integer factors of 5969 that divides 5969 without a remainder.

1,47,127,5969

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Greatest Common Factor

We found the factors 5969,7978 . The biggest common factor number is the GCF number.
So the greatest common factor 5969,7978 is 1.

Lets's calculate LCM of 365,7191

Given numbers has no common factors except 1. So, there LCM is their product i.e 2624715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2624715

Therefore, the GCF of Fractions 5969/365,7978/7191 is 1/2624715

Least Common Multiple of 365,7191 with GCF Formula

Least Common Multiple of 365,7191 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 365,7191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,7191) = 1

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

GCF(365,7191) x common factors =1 x 1 = 1

LCM(365,7191) = ( 365 × 7191 ) / 1

LCM(365,7191) = 2624715 / 1

LCM(365,7191) = 2624715


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 5969/365, 7978/7191

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 5969/365, 7978/7191?

Answer: GCF of Numerators as per given numbers 5969/365, 7978/7191 is

GCF of Numerators i.e. for 5969,7978 is 1

LCM of denominators i.e. for 365,7191 is 2624715.

Thus, GCF of Fractions is 1/2624715.Finally, GCF of Fractions for 5969/365, 7978/7191 is 1/2624715.