Greatest Common Factor of 1507/730, 7232/6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1507/730, 7232/6723

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 1507/730,7232/6723

Given fractions are 1507/730,7232/6723

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 1507,7232

Greatest Common Factor of Numerators i.e. GCF of 1507,7232 is 1 .

LCM of Denominators means LCM of 730,6723 as per the given fractions.

LCM of 730,6723 is 4907790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1507,7232

GCF of Fractions 1507/730,7232/6723 is 1/4907790

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

Greatest Common Factor of 1507,7232 By Matching Biggest Common Factor Method

Greatest Common Factor of 1507,7232 By Matching Biggest Common Factor Method

Factors of 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1,11,137,1507

Factors of 7232

List of positive integer factors of 7232 that divides 7232 without a remainder.

1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232

Greatest Common Factor

We found the factors 1507,7232 . The biggest common factor number is the GCF number.
So the greatest common factor 1507,7232 is 1.

Lets's calculate LCM of 730,6723

Given numbers has no common factors except 1. So, there LCM is their product i.e 4907790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4907790

Therefore, the GCF of Fractions 1507/730,7232/6723 is 1/4907790

Least Common Multiple of 730,6723 with GCF Formula

Least Common Multiple of 730,6723 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 730,6723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,6723) = 1

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

GCF(730,6723) x common factors =1 x 1 = 1

LCM(730,6723) = ( 730 × 6723 ) / 1

LCM(730,6723) = 4907790 / 1

LCM(730,6723) = 4907790


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 1507/730, 7232/6723

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 1507/730, 7232/6723?

Answer: GCF of Numerators as per given numbers 1507/730, 7232/6723 is

GCF of Numerators i.e. for 1507,7232 is 1

LCM of denominators i.e. for 730,6723 is 4907790.

Thus, GCF of Fractions is 1/4907790.Finally, GCF of Fractions for 1507/730, 7232/6723 is 1/4907790.