Greatest Common Factor of 309/938, 9958/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 309/938, 9958/629

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 309/938,9958/629

Given fractions are 309/938,9958/629

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 309,9958

Greatest Common Factor of Numerators i.e. GCF of 309,9958 is 1 .

LCM of Denominators means LCM of 938,629 as per the given fractions.

LCM of 938,629 is 590002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 309,9958

GCF of Fractions 309/938,9958/629 is 1/590002

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

Greatest Common Factor of 309,9958 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,9958 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Greatest Common Factor

We found the factors 309,9958 . The biggest common factor number is the GCF number.
So the greatest common factor 309,9958 is 1.

Lets's calculate LCM of 938,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 590002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590002

Therefore, the GCF of Fractions 309/938,9958/629 is 1/590002

Least Common Multiple of 938,629 with GCF Formula

Least Common Multiple of 938,629 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 938,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,629) = 1

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

GCF(938,629) x common factors =1 x 1 = 1

LCM(938,629) = ( 938 × 629 ) / 1

LCM(938,629) = 590002 / 1

LCM(938,629) = 590002


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 309/938, 9958/629

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 309/938, 9958/629?

Answer: GCF of Numerators as per given numbers 309/938, 9958/629 is

GCF of Numerators i.e. for 309,9958 is 1

LCM of denominators i.e. for 938,629 is 590002.

Thus, GCF of Fractions is 1/590002.Finally, GCF of Fractions for 309/938, 9958/629 is 1/590002.