Greatest Common Factor of 721/130, 7140/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/130, 7140/533

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 721/130,7140/533

Given fractions are 721/130,7140/533

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 721,7140

Greatest Common Factor of Numerators i.e. GCF of 721,7140 is 7 .

LCM of Denominators means LCM of 130,533 as per the given fractions.

LCM of 130,533 is 5330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,7140

GCF of Fractions 721/130,7140/533 is 7/5330

7 721, 7140
103, 1020

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 721,7140 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,7140 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 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Greatest Common Factor

We found the factors 721,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 721,7140 is 7.

Lets's calculate LCM of 130,533

13 130, 533
10, 41

∴ So the LCM of the given numbers is 13 x 10 x 41 = 5330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5330

Therefore, the GCF of Fractions 721/130,7140/533 is 7/5330

Least Common Multiple of 130,533 with GCF Formula

Least Common Multiple of 130,533 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 130,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,533) = 13

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

GCF(130,533) x common factors =13 x 1 = 13

LCM(130,533) = ( 130 × 533 ) / 13

LCM(130,533) = 69290 / 13

LCM(130,533) = 5330


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 721/130, 7140/533

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 721/130, 7140/533?

Answer: GCF of Numerators as per given numbers 721/130, 7140/533 is

GCF of Numerators i.e. for 721,7140 is 7

LCM of denominators i.e. for 130,533 is 5330.

Thus, GCF of Fractions is 7/5330.Finally, GCF of Fractions for 721/130, 7140/533 is 7/5330.