Greatest Common Factor of 72/810, 583/285, 373/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/810, 583/285, 373/173

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 72/810,583/285,373/173

Given fractions are 72/810,583/285,373/173

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 72,583,373

Greatest Common Factor of Numerators i.e. GCF of 72,583,373 is 1 .

LCM of Denominators means LCM of 810,285,173 as per the given fractions.

LCM of 810,285,173 is 2662470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,583,373

GCF of Fractions 72/810,583/285,373/173 is 1/2662470

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

Greatest Common Factor of 72,583,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,583,373 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 72,583,373 . The biggest common factor number is the GCF number.
So the greatest common factor 72,583,373 is 1.

Lets's calculate LCM of 810,285,173

3 810, 285, 173
5 270, 95, 173
54, 19, 173

∴ So the LCM of the given numbers is 3 x 5 x 54 x 19 x 173 = 2662470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2662470

Therefore, the GCF of Fractions 72/810,583/285,373/173 is 1/2662470

Least Common Multiple of 810,285,173 with GCF Formula

Least Common Multiple of 810,285,173 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 810,285,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,285,173) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(810,285,173) x common factors =1 x 15 = 15

LCM(810,285,173) = ( 810 × 285 × 173 ) / 15

LCM(810,285,173) = 39937050 / 15

LCM(810,285,173) = 2662470


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 72/810, 583/285, 373/173

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 72/810, 583/285, 373/173?

Answer: GCF of Numerators as per given numbers 72/810, 583/285, 373/173 is

GCF of Numerators i.e. for 72,583,373 is 1

LCM of denominators i.e. for 810,285,173 is 2662470.

Thus, GCF of Fractions is 1/2662470.Finally, GCF of Fractions for 72/810, 583/285, 373/173 is 1/2662470.