Greatest Common Factor of 575/83, 782/73, 860/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 575/83, 782/73, 860/20

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 575/83,782/73,860/20

Given fractions are 575/83,782/73,860/20

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 575,782,860

Greatest Common Factor of Numerators i.e. GCF of 575,782,860 is 1 .

LCM of Denominators means LCM of 83,73,20 as per the given fractions.

LCM of 83,73,20 is 121180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 575,782,860

GCF of Fractions 575/83,782/73,860/20 is 1/121180

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

Greatest Common Factor of 575,782,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,782,860 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 575,782,860 . The biggest common factor number is the GCF number.
So the greatest common factor 575,782,860 is 1.

Lets's calculate LCM of 83,73,20

Given numbers has no common factors except 1. So, there LCM is their product i.e 121180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121180

Therefore, the GCF of Fractions 575/83,782/73,860/20 is 1/121180

Least Common Multiple of 83,73,20 with GCF Formula

Least Common Multiple of 83,73,20 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 83,73,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,73,20) = 1

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

GCF(83,73,20) x common factors =1 x 1 = 1

LCM(83,73,20) = ( 83 × 73 × 20 ) / 1

LCM(83,73,20) = 121180 / 1

LCM(83,73,20) = 121180


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 575/83, 782/73, 860/20

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 575/83, 782/73, 860/20?

Answer: GCF of Numerators as per given numbers 575/83, 782/73, 860/20 is

GCF of Numerators i.e. for 575,782,860 is 1

LCM of denominators i.e. for 83,73,20 is 121180.

Thus, GCF of Fractions is 1/121180.Finally, GCF of Fractions for 575/83, 782/73, 860/20 is 1/121180.