Greatest Common Factor of 660/43, 612/22, 535/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/43, 612/22, 535/82

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 660/43,612/22,535/82

Given fractions are 660/43,612/22,535/82

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 660,612,535

Greatest Common Factor of Numerators i.e. GCF of 660,612,535 is 1 .

LCM of Denominators means LCM of 43,22,82 as per the given fractions.

LCM of 43,22,82 is 38786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,612,535

GCF of Fractions 660/43,612/22,535/82 is 1/38786

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

Greatest Common Factor of 660,612,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,612,535 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 660,612,535 . The biggest common factor number is the GCF number.
So the greatest common factor 660,612,535 is 1.

Lets's calculate LCM of 43,22,82

2 43, 22, 82
43, 11, 41

∴ So the LCM of the given numbers is 2 x 43 x 11 x 41 = 38786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38786

Therefore, the GCF of Fractions 660/43,612/22,535/82 is 1/38786

Least Common Multiple of 43,22,82 with GCF Formula

Least Common Multiple of 43,22,82 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 43,22,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,22,82) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,22,82) x common factors =1 x 2 = 2

LCM(43,22,82) = ( 43 × 22 × 82 ) / 2

LCM(43,22,82) = 77572 / 2

LCM(43,22,82) = 38786


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 660/43, 612/22, 535/82

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 660/43, 612/22, 535/82?

Answer: GCF of Numerators as per given numbers 660/43, 612/22, 535/82 is

GCF of Numerators i.e. for 660,612,535 is 1

LCM of denominators i.e. for 43,22,82 is 38786.

Thus, GCF of Fractions is 1/38786.Finally, GCF of Fractions for 660/43, 612/22, 535/82 is 1/38786.