Greatest Common Factor of 660/20, 367/34, 553/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/20, 367/34, 553/162

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 660/20,367/34,553/162

Given fractions are 660/20,367/34,553/162

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 660,367,553

Greatest Common Factor of Numerators i.e. GCF of 660,367,553 is 1 .

LCM of Denominators means LCM of 20,34,162 as per the given fractions.

LCM of 20,34,162 is 27540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,367,553

GCF of Fractions 660/20,367/34,553/162 is 1/27540

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

Greatest Common Factor of 660,367,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,367,553 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 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 660,367,553 . The biggest common factor number is the GCF number.
So the greatest common factor 660,367,553 is 1.

Lets's calculate LCM of 20,34,162

2 20, 34, 162
10, 17, 81

∴ So the LCM of the given numbers is 2 x 10 x 17 x 81 = 27540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27540

Therefore, the GCF of Fractions 660/20,367/34,553/162 is 1/27540

Least Common Multiple of 20,34,162 with GCF Formula

Least Common Multiple of 20,34,162 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 20,34,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,34,162) = 2

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

GCF(20,34,162) x common factors =2 x 2 = 4

LCM(20,34,162) = ( 20 × 34 × 162 ) / 4

LCM(20,34,162) = 110160 / 4

LCM(20,34,162) = 27540


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 660/20, 367/34, 553/162

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 660/20, 367/34, 553/162?

Answer: GCF of Numerators as per given numbers 660/20, 367/34, 553/162 is

GCF of Numerators i.e. for 660,367,553 is 1

LCM of denominators i.e. for 20,34,162 is 27540.

Thus, GCF of Fractions is 1/27540.Finally, GCF of Fractions for 660/20, 367/34, 553/162 is 1/27540.