Greatest Common Factor of 7967/397, 1168/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7967/397, 1168/191

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 7967/397,1168/191

Given fractions are 7967/397,1168/191

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 7967,1168

Greatest Common Factor of Numerators i.e. GCF of 7967,1168 is 1 .

LCM of Denominators means LCM of 397,191 as per the given fractions.

LCM of 397,191 is 75827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7967,1168

GCF of Fractions 7967/397,1168/191 is 1/75827

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

Greatest Common Factor of 7967,1168 By Matching Biggest Common Factor Method

Greatest Common Factor of 7967,1168 By Matching Biggest Common Factor Method

Factors of 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1,31,257,7967

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 7967,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 7967,1168 is 1.

Lets's calculate LCM of 397,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 75827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75827

Therefore, the GCF of Fractions 7967/397,1168/191 is 1/75827

Least Common Multiple of 397,191 with GCF Formula

Least Common Multiple of 397,191 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 397,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,191) = 1

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

GCF(397,191) x common factors =1 x 1 = 1

LCM(397,191) = ( 397 × 191 ) / 1

LCM(397,191) = 75827 / 1

LCM(397,191) = 75827


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 7967/397, 1168/191

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 7967/397, 1168/191?

Answer: GCF of Numerators as per given numbers 7967/397, 1168/191 is

GCF of Numerators i.e. for 7967,1168 is 1

LCM of denominators i.e. for 397,191 is 75827.

Thus, GCF of Fractions is 1/75827.Finally, GCF of Fractions for 7967/397, 1168/191 is 1/75827.