Greatest Common Factor of 391/684, 8251/9018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/684, 8251/9018

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 391/684,8251/9018

Given fractions are 391/684,8251/9018

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 391,8251

Greatest Common Factor of Numerators i.e. GCF of 391,8251 is 1 .

LCM of Denominators means LCM of 684,9018 as per the given fractions.

LCM of 684,9018 is 342684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,8251

GCF of Fractions 391/684,8251/9018 is 1/342684

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

Greatest Common Factor of 391,8251 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,8251 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 8251

List of positive integer factors of 8251 that divides 8251 without a remainder.

1,37,223,8251

Greatest Common Factor

We found the factors 391,8251 . The biggest common factor number is the GCF number.
So the greatest common factor 391,8251 is 1.

Lets's calculate LCM of 684,9018

2 684, 9018
3 342, 4509
3 114, 1503
38, 501

∴ So the LCM of the given numbers is 2 x 3 x 3 x 38 x 501 = 342684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342684

Therefore, the GCF of Fractions 391/684,8251/9018 is 1/342684

Least Common Multiple of 684,9018 with GCF Formula

Least Common Multiple of 684,9018 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 684,9018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,9018) = 18

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

GCF(684,9018) x common factors =18 x 1 = 18

LCM(684,9018) = ( 684 × 9018 ) / 18

LCM(684,9018) = 6168312 / 18

LCM(684,9018) = 342684


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 391/684, 8251/9018

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 391/684, 8251/9018?

Answer: GCF of Numerators as per given numbers 391/684, 8251/9018 is

GCF of Numerators i.e. for 391,8251 is 1

LCM of denominators i.e. for 684,9018 is 342684.

Thus, GCF of Fractions is 1/342684.Finally, GCF of Fractions for 391/684, 8251/9018 is 1/342684.