Greatest Common Factor of 8409/530, 4757/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8409/530, 4757/686

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 8409/530,4757/686

Given fractions are 8409/530,4757/686

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 8409,4757

Greatest Common Factor of Numerators i.e. GCF of 8409,4757 is 1 .

LCM of Denominators means LCM of 530,686 as per the given fractions.

LCM of 530,686 is 181790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8409,4757

GCF of Fractions 8409/530,4757/686 is 1/181790

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

Greatest Common Factor of 8409,4757 By Matching Biggest Common Factor Method

Greatest Common Factor of 8409,4757 By Matching Biggest Common Factor Method

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1,3,2803,8409

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1,67,71,4757

Greatest Common Factor

We found the factors 8409,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,4757 is 1.

Lets's calculate LCM of 530,686

2 530, 686
265, 343

∴ So the LCM of the given numbers is 2 x 265 x 343 = 181790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181790

Therefore, the GCF of Fractions 8409/530,4757/686 is 1/181790

Least Common Multiple of 530,686 with GCF Formula

Least Common Multiple of 530,686 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 530,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,686) = 2

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

GCF(530,686) x common factors =2 x 1 = 2

LCM(530,686) = ( 530 × 686 ) / 2

LCM(530,686) = 363580 / 2

LCM(530,686) = 181790


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 8409/530, 4757/686

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 8409/530, 4757/686?

Answer: GCF of Numerators as per given numbers 8409/530, 4757/686 is

GCF of Numerators i.e. for 8409,4757 is 1

LCM of denominators i.e. for 530,686 is 181790.

Thus, GCF of Fractions is 1/181790.Finally, GCF of Fractions for 8409/530, 4757/686 is 1/181790.