Greatest Common Factor of 7969/64, 5939/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7969/64, 5939/355

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 7969/64,5939/355

Given fractions are 7969/64,5939/355

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 7969,5939

Greatest Common Factor of Numerators i.e. GCF of 7969,5939 is 1 .

LCM of Denominators means LCM of 64,355 as per the given fractions.

LCM of 64,355 is 22720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7969,5939

GCF of Fractions 7969/64,5939/355 is 1/22720

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

Greatest Common Factor of 7969,5939 By Matching Biggest Common Factor Method

Greatest Common Factor of 7969,5939 By Matching Biggest Common Factor Method

Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1,13,613,7969

Factors of 5939

List of positive integer factors of 5939 that divides 5939 without a remainder.

1,5939

Greatest Common Factor

We found the factors 7969,5939 . The biggest common factor number is the GCF number.
So the greatest common factor 7969,5939 is 1.

Lets's calculate LCM of 64,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 22720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22720

Therefore, the GCF of Fractions 7969/64,5939/355 is 1/22720

Least Common Multiple of 64,355 with GCF Formula

Least Common Multiple of 64,355 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 64,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,355) = 1

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

GCF(64,355) x common factors =1 x 1 = 1

LCM(64,355) = ( 64 × 355 ) / 1

LCM(64,355) = 22720 / 1

LCM(64,355) = 22720


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 7969/64, 5939/355

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 7969/64, 5939/355?

Answer: GCF of Numerators as per given numbers 7969/64, 5939/355 is

GCF of Numerators i.e. for 7969,5939 is 1

LCM of denominators i.e. for 64,355 is 22720.

Thus, GCF of Fractions is 1/22720.Finally, GCF of Fractions for 7969/64, 5939/355 is 1/22720.