Greatest Common Factor of 6/83, 65/99, 37/438, 959/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6/83, 65/99, 37/438, 959/791

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 6/83,65/99,37/438,959/791

Given fractions are 6/83,65/99,37/438,959/791

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 6,65,37,959

Greatest Common Factor of Numerators i.e. GCF of 6,65,37,959 is 1 .

LCM of Denominators means LCM of 83,99,438,791 as per the given fractions.

LCM of 83,99,438,791 is 948948462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,65,37,959

GCF of Fractions 6/83,65/99,37/438,959/791 is 1/948948462

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

Greatest Common Factor of 6,65,37,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,65,37,959 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 6,65,37,959 . The biggest common factor number is the GCF number.
So the greatest common factor 6,65,37,959 is 1.


Lets's calculate LCM of 83,99,438,791

3 83, 99, 438, 791
83, 33, 146, 791

∴ So the LCM of the given numbers is 3 x 83 x 33 x 146 x 791 = 948948462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/948948462

Therefore, the GCF of Fractions 6/83,65/99,37/438,959/791 is 1/948948462

Least Common Multiple of 83,99,438,791 with GCF Formula

Least Common Multiple of 83,99,438,791 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 83,99,438,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,99,438,791) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,99,438,791) x common factors =1 x 3 = 3

LCM(83,99,438,791) = ( 83 × 99 × 438 × 791 ) / 3

LCM(83,99,438,791) = 2846845386 / 3

LCM(83,99,438,791) = 948948462


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6/83, 65/99, 37/438, 959/791

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 6/83, 65/99, 37/438, 959/791?

Answer: GCF of Numerators as per given numbers 6/83, 65/99, 37/438, 959/791 is

GCF of Numerators i.e. for 6,65,37,959 is 1

LCM of denominators i.e. for 83,99,438,791 is 948948462.

Thus, GCF of Fractions is 1/948948462.Finally, GCF of Fractions for 6/83, 65/99, 37/438, 959/791 is 1/948948462.