Greatest Common Factor of 8407/584, 6793/5014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8407/584, 6793/5014

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 8407/584,6793/5014

Given fractions are 8407/584,6793/5014

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 8407,6793

Greatest Common Factor of Numerators i.e. GCF of 8407,6793 is 1 .

LCM of Denominators means LCM of 584,5014 as per the given fractions.

LCM of 584,5014 is 1464088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8407,6793

GCF of Fractions 8407/584,6793/5014 is 1/1464088

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

Greatest Common Factor of 8407,6793 By Matching Biggest Common Factor Method

Greatest Common Factor of 8407,6793 By Matching Biggest Common Factor Method

Factors of 8407

List of positive integer factors of 8407 that divides 8407 without a remainder.

1,7,1201,8407

Factors of 6793

List of positive integer factors of 6793 that divides 6793 without a remainder.

1,6793

Greatest Common Factor

We found the factors 8407,6793 . The biggest common factor number is the GCF number.
So the greatest common factor 8407,6793 is 1.

Lets's calculate LCM of 584,5014

2 584, 5014
292, 2507

∴ So the LCM of the given numbers is 2 x 292 x 2507 = 1464088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1464088

Therefore, the GCF of Fractions 8407/584,6793/5014 is 1/1464088

Least Common Multiple of 584,5014 with GCF Formula

Least Common Multiple of 584,5014 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 584,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,5014) = 2

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

GCF(584,5014) x common factors =2 x 1 = 2

LCM(584,5014) = ( 584 × 5014 ) / 2

LCM(584,5014) = 2928176 / 2

LCM(584,5014) = 1464088


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 8407/584, 6793/5014

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 8407/584, 6793/5014?

Answer: GCF of Numerators as per given numbers 8407/584, 6793/5014 is

GCF of Numerators i.e. for 8407,6793 is 1

LCM of denominators i.e. for 584,5014 is 1464088.

Thus, GCF of Fractions is 1/1464088.Finally, GCF of Fractions for 8407/584, 6793/5014 is 1/1464088.