Greatest Common Factor of 666/56, 130/41, 170/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/56, 130/41, 170/231

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 666/56,130/41,170/231

Given fractions are 666/56,130/41,170/231

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 666,130,170

Greatest Common Factor of Numerators i.e. GCF of 666,130,170 is 2 .

LCM of Denominators means LCM of 56,41,231 as per the given fractions.

LCM of 56,41,231 is 75768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,130,170

GCF of Fractions 666/56,130/41,170/231 is 2/75768

2 666, 130, 170
333, 65, 85

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 666,130,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,130,170 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 666,130,170 . The biggest common factor number is the GCF number.
So the greatest common factor 666,130,170 is 2.

Lets's calculate LCM of 56,41,231

7 56, 41, 231
8, 41, 33

∴ So the LCM of the given numbers is 7 x 8 x 41 x 33 = 75768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75768

Therefore, the GCF of Fractions 666/56,130/41,170/231 is 2/75768

Least Common Multiple of 56,41,231 with GCF Formula

Least Common Multiple of 56,41,231 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 56,41,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,41,231) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(56,41,231) x common factors =1 x 7 = 7

LCM(56,41,231) = ( 56 × 41 × 231 ) / 7

LCM(56,41,231) = 530376 / 7

LCM(56,41,231) = 75768


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 666/56, 130/41, 170/231

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 666/56, 130/41, 170/231?

Answer: GCF of Numerators as per given numbers 666/56, 130/41, 170/231 is

GCF of Numerators i.e. for 666,130,170 is 2

LCM of denominators i.e. for 56,41,231 is 75768.

Thus, GCF of Fractions is 2/75768.Finally, GCF of Fractions for 666/56, 130/41, 170/231 is 2/75768.