Greatest Common Factor of 8694/113, 5001/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8694/113, 5001/306

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 8694/113,5001/306

Given fractions are 8694/113,5001/306

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 8694,5001

Greatest Common Factor of Numerators i.e. GCF of 8694,5001 is 3 .

LCM of Denominators means LCM of 113,306 as per the given fractions.

LCM of 113,306 is 34578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8694,5001

GCF of Fractions 8694/113,5001/306 is 3/34578

3 8694, 5001
2898, 1667

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8694,5001 By Matching Biggest Common Factor Method

Greatest Common Factor of 8694,5001 By Matching Biggest Common Factor Method

Factors of 8694

List of positive integer factors of 8694 that divides 8694 without a remainder.

1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694

Factors of 5001

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

1,3,1667,5001

Greatest Common Factor

We found the factors 8694,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 8694,5001 is 3.

Lets's calculate LCM of 113,306

Given numbers has no common factors except 1. So, there LCM is their product i.e 34578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34578

Therefore, the GCF of Fractions 8694/113,5001/306 is 3/34578

Least Common Multiple of 113,306 with GCF Formula

Least Common Multiple of 113,306 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 113,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,306) = 1

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

GCF(113,306) x common factors =1 x 1 = 1

LCM(113,306) = ( 113 × 306 ) / 1

LCM(113,306) = 34578 / 1

LCM(113,306) = 34578


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 8694/113, 5001/306

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 8694/113, 5001/306?

Answer: GCF of Numerators as per given numbers 8694/113, 5001/306 is

GCF of Numerators i.e. for 8694,5001 is 3

LCM of denominators i.e. for 113,306 is 34578.

Thus, GCF of Fractions is 3/34578.Finally, GCF of Fractions for 8694/113, 5001/306 is 3/34578.