Greatest Common Factor of 8317/66, 2359/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8317/66, 2359/451

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 8317/66,2359/451

Given fractions are 8317/66,2359/451

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 8317,2359

Greatest Common Factor of Numerators i.e. GCF of 8317,2359 is 1 .

LCM of Denominators means LCM of 66,451 as per the given fractions.

LCM of 66,451 is 2706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8317,2359

GCF of Fractions 8317/66,2359/451 is 1/2706

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

Greatest Common Factor of 8317,2359 By Matching Biggest Common Factor Method

Greatest Common Factor of 8317,2359 By Matching Biggest Common Factor Method

Factors of 8317

List of positive integer factors of 8317 that divides 8317 without a remainder.

1,8317

Factors of 2359

List of positive integer factors of 2359 that divides 2359 without a remainder.

1,7,337,2359

Greatest Common Factor

We found the factors 8317,2359 . The biggest common factor number is the GCF number.
So the greatest common factor 8317,2359 is 1.

Lets's calculate LCM of 66,451

11 66, 451
6, 41

∴ So the LCM of the given numbers is 11 x 6 x 41 = 2706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2706

Therefore, the GCF of Fractions 8317/66,2359/451 is 1/2706

Least Common Multiple of 66,451 with GCF Formula

Least Common Multiple of 66,451 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 66,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,451) = 11

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

GCF(66,451) x common factors =11 x 1 = 11

LCM(66,451) = ( 66 × 451 ) / 11

LCM(66,451) = 29766 / 11

LCM(66,451) = 2706


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 8317/66, 2359/451

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 8317/66, 2359/451?

Answer: GCF of Numerators as per given numbers 8317/66, 2359/451 is

GCF of Numerators i.e. for 8317,2359 is 1

LCM of denominators i.e. for 66,451 is 2706.

Thus, GCF of Fractions is 1/2706.Finally, GCF of Fractions for 8317/66, 2359/451 is 1/2706.