Greatest Common Factor of 819/746, 728/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/746, 728/769

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 819/746,728/769

Given fractions are 819/746,728/769

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 819,728

Greatest Common Factor of Numerators i.e. GCF of 819,728 is 91 .

LCM of Denominators means LCM of 746,769 as per the given fractions.

LCM of 746,769 is 573674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,728

GCF of Fractions 819/746,728/769 is 91/573674

7 819, 728
13 117, 104
9, 8

∴ So the GCF of the given numbers is 7 x 13 = 91

Greatest Common Factor of 819,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,728 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 819,728 . The biggest common factor number is the GCF number.
So the greatest common factor 819,728 is 91.

Lets's calculate LCM of 746,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 573674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/573674

Therefore, the GCF of Fractions 819/746,728/769 is 91/573674

Least Common Multiple of 746,769 with GCF Formula

Least Common Multiple of 746,769 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 746,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,769) = 1

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

GCF(746,769) x common factors =1 x 1 = 1

LCM(746,769) = ( 746 × 769 ) / 1

LCM(746,769) = 573674 / 1

LCM(746,769) = 573674


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 819/746, 728/769

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 819/746, 728/769?

Answer: GCF of Numerators as per given numbers 819/746, 728/769 is

GCF of Numerators i.e. for 819,728 is 91

LCM of denominators i.e. for 746,769 is 573674.

Thus, GCF of Fractions is 91/573674.Finally, GCF of Fractions for 819/746, 728/769 is 91/573674.