Greatest Common Factor of 721/646, 5039/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/646, 5039/430

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 721/646,5039/430

Given fractions are 721/646,5039/430

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 721,5039

Greatest Common Factor of Numerators i.e. GCF of 721,5039 is 1 .

LCM of Denominators means LCM of 646,430 as per the given fractions.

LCM of 646,430 is 138890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,5039

GCF of Fractions 721/646,5039/430 is 1/138890

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

Greatest Common Factor of 721,5039 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,5039 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 5039

List of positive integer factors of 5039 that divides 5039 without a remainder.

1,5039

Greatest Common Factor

We found the factors 721,5039 . The biggest common factor number is the GCF number.
So the greatest common factor 721,5039 is 1.

Lets's calculate LCM of 646,430

2 646, 430
323, 215

∴ So the LCM of the given numbers is 2 x 323 x 215 = 138890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138890

Therefore, the GCF of Fractions 721/646,5039/430 is 1/138890

Least Common Multiple of 646,430 with GCF Formula

Least Common Multiple of 646,430 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 646,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,430) = 2

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

GCF(646,430) x common factors =2 x 1 = 2

LCM(646,430) = ( 646 × 430 ) / 2

LCM(646,430) = 277780 / 2

LCM(646,430) = 138890


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 721/646, 5039/430

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 721/646, 5039/430?

Answer: GCF of Numerators as per given numbers 721/646, 5039/430 is

GCF of Numerators i.e. for 721,5039 is 1

LCM of denominators i.e. for 646,430 is 138890.

Thus, GCF of Fractions is 1/138890.Finally, GCF of Fractions for 721/646, 5039/430 is 1/138890.