Greatest Common Factor of 722/930, 513/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/930, 513/278

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 722/930,513/278

Given fractions are 722/930,513/278

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 722,513

Greatest Common Factor of Numerators i.e. GCF of 722,513 is 19 .

LCM of Denominators means LCM of 930,278 as per the given fractions.

LCM of 930,278 is 129270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,513

GCF of Fractions 722/930,513/278 is 19/129270

19 722, 513
38, 27

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 722,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,513 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 722,513 . The biggest common factor number is the GCF number.
So the greatest common factor 722,513 is 19.

Lets's calculate LCM of 930,278

2 930, 278
465, 139

∴ So the LCM of the given numbers is 2 x 465 x 139 = 129270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/129270

Therefore, the GCF of Fractions 722/930,513/278 is 19/129270

Least Common Multiple of 930,278 with GCF Formula

Least Common Multiple of 930,278 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 930,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,278) = 2

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

GCF(930,278) x common factors =2 x 1 = 2

LCM(930,278) = ( 930 × 278 ) / 2

LCM(930,278) = 258540 / 2

LCM(930,278) = 129270


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 722/930, 513/278

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 722/930, 513/278?

Answer: GCF of Numerators as per given numbers 722/930, 513/278 is

GCF of Numerators i.e. for 722,513 is 19

LCM of denominators i.e. for 930,278 is 129270.

Thus, GCF of Fractions is 19/129270.Finally, GCF of Fractions for 722/930, 513/278 is 19/129270.