Greatest Common Factor of 739/812, 510/651, 915/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 739/812, 510/651, 915/728

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 739/812,510/651,915/728

Given fractions are 739/812,510/651,915/728

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 739,510,915

Greatest Common Factor of Numerators i.e. GCF of 739,510,915 is 1 .

LCM of Denominators means LCM of 812,651,728 as per the given fractions.

LCM of 812,651,728 is 1963416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 739,510,915

GCF of Fractions 739/812,510/651,915/728 is 1/1963416

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

Greatest Common Factor of 739,510,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,510,915 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 739,510,915 . The biggest common factor number is the GCF number.
So the greatest common factor 739,510,915 is 1.

Lets's calculate LCM of 812,651,728

2 812, 651, 728
2 406, 651, 364
7 203, 651, 182
29, 93, 26

∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 93 x 26 = 1963416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963416

Therefore, the GCF of Fractions 739/812,510/651,915/728 is 1/1963416

Least Common Multiple of 812,651,728 with GCF Formula

Least Common Multiple of 812,651,728 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 812,651,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,651,728) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(812,651,728) x common factors =7 x 28 = 196

LCM(812,651,728) = ( 812 × 651 × 728 ) / 196

LCM(812,651,728) = 384829536 / 196

LCM(812,651,728) = 1963416


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 739/812, 510/651, 915/728

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 739/812, 510/651, 915/728?

Answer: GCF of Numerators as per given numbers 739/812, 510/651, 915/728 is

GCF of Numerators i.e. for 739,510,915 is 1

LCM of denominators i.e. for 812,651,728 is 1963416.

Thus, GCF of Fractions is 1/1963416.Finally, GCF of Fractions for 739/812, 510/651, 915/728 is 1/1963416.