Greatest Common Factor of 790/81, 305/63, 650/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/81, 305/63, 650/81

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 790/81,305/63,650/81

Given fractions are 790/81,305/63,650/81

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 790,305,650

Greatest Common Factor of Numerators i.e. GCF of 790,305,650 is 5 .

LCM of Denominators means LCM of 81,63,81 as per the given fractions.

LCM of 81,63,81 is 567 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,305,650

GCF of Fractions 790/81,305/63,650/81 is 5/567

5 790, 305, 650
158, 61, 130

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 790,305,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,305,650 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 790,305,650 . The biggest common factor number is the GCF number.
So the greatest common factor 790,305,650 is 5.

Lets's calculate LCM of 81,63,81

3 81, 63, 81
3 27, 21, 27
3 9, 7, 9
3 3, 7, 3
1, 7, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 1 x 7 x 1 = 567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/567

Therefore, the GCF of Fractions 790/81,305/63,650/81 is 5/567

Least Common Multiple of 81,63,81 with GCF Formula

Least Common Multiple of 81,63,81 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 81,63,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,63,81) = 9

common factors(in case of two or more numbers have common factors) = 81

GCF(81,63,81) x common factors =9 x 81 = 729

LCM(81,63,81) = ( 81 × 63 × 81 ) / 729

LCM(81,63,81) = 413343 / 729

LCM(81,63,81) = 567


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 790/81, 305/63, 650/81

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 790/81, 305/63, 650/81?

Answer: GCF of Numerators as per given numbers 790/81, 305/63, 650/81 is

GCF of Numerators i.e. for 790,305,650 is 5

LCM of denominators i.e. for 81,63,81 is 567.

Thus, GCF of Fractions is 5/567.Finally, GCF of Fractions for 790/81, 305/63, 650/81 is 5/567.