Greatest Common Factor of 7967/13, 3759/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7967/13, 3759/253

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 7967/13,3759/253

Given fractions are 7967/13,3759/253

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 7967,3759

Greatest Common Factor of Numerators i.e. GCF of 7967,3759 is 1 .

LCM of Denominators means LCM of 13,253 as per the given fractions.

LCM of 13,253 is 3289 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7967,3759

GCF of Fractions 7967/13,3759/253 is 1/3289

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

Greatest Common Factor of 7967,3759 By Matching Biggest Common Factor Method

Greatest Common Factor of 7967,3759 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 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1,3,7,21,179,537,1253,3759

Greatest Common Factor

We found the factors 7967,3759 . The biggest common factor number is the GCF number.
So the greatest common factor 7967,3759 is 1.

Lets's calculate LCM of 13,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 3289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3289

Therefore, the GCF of Fractions 7967/13,3759/253 is 1/3289

Least Common Multiple of 13,253 with GCF Formula

Least Common Multiple of 13,253 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 13,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,253) = 1

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

GCF(13,253) x common factors =1 x 1 = 1

LCM(13,253) = ( 13 × 253 ) / 1

LCM(13,253) = 3289 / 1

LCM(13,253) = 3289


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 7967/13, 3759/253

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 7967/13, 3759/253?

Answer: GCF of Numerators as per given numbers 7967/13, 3759/253 is

GCF of Numerators i.e. for 7967,3759 is 1

LCM of denominators i.e. for 13,253 is 3289.

Thus, GCF of Fractions is 1/3289.Finally, GCF of Fractions for 7967/13, 3759/253 is 1/3289.