Greatest Common Factor of 810/38, 728/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/38, 728/598

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 810/38,728/598

Given fractions are 810/38,728/598

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 810,728

Greatest Common Factor of Numerators i.e. GCF of 810,728 is 2 .

LCM of Denominators means LCM of 38,598 as per the given fractions.

LCM of 38,598 is 11362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,728

GCF of Fractions 810/38,728/598 is 2/11362

2 810, 728
405, 364

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 810,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,728 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

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 810,728 . The biggest common factor number is the GCF number.
So the greatest common factor 810,728 is 2.

Lets's calculate LCM of 38,598

2 38, 598
19, 299

∴ So the LCM of the given numbers is 2 x 19 x 299 = 11362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11362

Therefore, the GCF of Fractions 810/38,728/598 is 2/11362

Least Common Multiple of 38,598 with GCF Formula

Least Common Multiple of 38,598 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 38,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,598) = 2

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

GCF(38,598) x common factors =2 x 1 = 2

LCM(38,598) = ( 38 × 598 ) / 2

LCM(38,598) = 22724 / 2

LCM(38,598) = 11362


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 810/38, 728/598

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 810/38, 728/598?

Answer: GCF of Numerators as per given numbers 810/38, 728/598 is

GCF of Numerators i.e. for 810,728 is 2

LCM of denominators i.e. for 38,598 is 11362.

Thus, GCF of Fractions is 2/11362.Finally, GCF of Fractions for 810/38, 728/598 is 2/11362.