Greatest Common Factor of 5001/35, 8326/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5001/35, 8326/119

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 5001/35,8326/119

Given fractions are 5001/35,8326/119

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 5001,8326

Greatest Common Factor of Numerators i.e. GCF of 5001,8326 is 1 .

LCM of Denominators means LCM of 35,119 as per the given fractions.

LCM of 35,119 is 595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5001,8326

GCF of Fractions 5001/35,8326/119 is 1/595

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

Greatest Common Factor of 5001,8326 By Matching Biggest Common Factor Method

Greatest Common Factor of 5001,8326 By Matching Biggest Common Factor Method

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1,3,1667,5001

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1,2,23,46,181,362,4163,8326

Greatest Common Factor

We found the factors 5001,8326 . The biggest common factor number is the GCF number.
So the greatest common factor 5001,8326 is 1.

Lets's calculate LCM of 35,119

7 35, 119
5, 17

∴ So the LCM of the given numbers is 7 x 5 x 17 = 595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595

Therefore, the GCF of Fractions 5001/35,8326/119 is 1/595

Least Common Multiple of 35,119 with GCF Formula

Least Common Multiple of 35,119 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 35,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,119) = 7

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

GCF(35,119) x common factors =7 x 1 = 7

LCM(35,119) = ( 35 × 119 ) / 7

LCM(35,119) = 4165 / 7

LCM(35,119) = 595


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 5001/35, 8326/119

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 5001/35, 8326/119?

Answer: GCF of Numerators as per given numbers 5001/35, 8326/119 is

GCF of Numerators i.e. for 5001,8326 is 1

LCM of denominators i.e. for 35,119 is 595.

Thus, GCF of Fractions is 1/595.Finally, GCF of Fractions for 5001/35, 8326/119 is 1/595.