Greatest Common Factor of 8509/506, 4961/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8509/506, 4961/794

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 8509/506,4961/794

Given fractions are 8509/506,4961/794

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 8509,4961

Greatest Common Factor of Numerators i.e. GCF of 8509,4961 is 1 .

LCM of Denominators means LCM of 506,794 as per the given fractions.

LCM of 506,794 is 200882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8509,4961

GCF of Fractions 8509/506,4961/794 is 1/200882

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

Greatest Common Factor of 8509,4961 By Matching Biggest Common Factor Method

Greatest Common Factor of 8509,4961 By Matching Biggest Common Factor Method

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1,11,41,121,451,4961

Greatest Common Factor

We found the factors 8509,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 8509,4961 is 1.

Lets's calculate LCM of 506,794

2 506, 794
253, 397

∴ So the LCM of the given numbers is 2 x 253 x 397 = 200882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200882

Therefore, the GCF of Fractions 8509/506,4961/794 is 1/200882

Least Common Multiple of 506,794 with GCF Formula

Least Common Multiple of 506,794 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 506,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,794) = 2

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

GCF(506,794) x common factors =2 x 1 = 2

LCM(506,794) = ( 506 × 794 ) / 2

LCM(506,794) = 401764 / 2

LCM(506,794) = 200882


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 8509/506, 4961/794

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 8509/506, 4961/794?

Answer: GCF of Numerators as per given numbers 8509/506, 4961/794 is

GCF of Numerators i.e. for 8509,4961 is 1

LCM of denominators i.e. for 506,794 is 200882.

Thus, GCF of Fractions is 1/200882.Finally, GCF of Fractions for 8509/506, 4961/794 is 1/200882.