Greatest Common Factor of 69/66, 15/89, 40/89, 82/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/66, 15/89, 40/89, 82/166

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 69/66,15/89,40/89,82/166

Given fractions are 69/66,15/89,40/89,82/166

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 69,15,40,82

Greatest Common Factor of Numerators i.e. GCF of 69,15,40,82 is 1 .

LCM of Denominators means LCM of 66,89,89,166 as per the given fractions.

LCM of 66,89,89,166 is 487542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,15,40,82

GCF of Fractions 69/66,15/89,40/89,82/166 is 1/487542

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

Greatest Common Factor of 69,15,40,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,15,40,82 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 69,15,40,82 . The biggest common factor number is the GCF number.
So the greatest common factor 69,15,40,82 is 1.

Lets's calculate LCM of 66,89,89,166

2 66, 89, 89, 166
89 33, 89, 89, 83
33, 1, 1, 83

∴ So the LCM of the given numbers is 2 x 89 x 33 x 1 x 1 x 83 = 487542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487542

Therefore, the GCF of Fractions 69/66,15/89,40/89,82/166 is 1/487542

Least Common Multiple of 66,89,89,166 with GCF Formula

Least Common Multiple of 66,89,89,166 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 66,89,89,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,89,89,166) = 1

common factors(in case of two or more numbers have common factors) = 178

GCF(66,89,89,166) x common factors =1 x 178 = 178

LCM(66,89,89,166) = ( 66 × 89 × 89 × 166 ) / 178

LCM(66,89,89,166) = 86782476 / 178

LCM(66,89,89,166) = 487542


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 69/66, 15/89, 40/89, 82/166

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 69/66, 15/89, 40/89, 82/166?

Answer: GCF of Numerators as per given numbers 69/66, 15/89, 40/89, 82/166 is

GCF of Numerators i.e. for 69,15,40,82 is 1

LCM of denominators i.e. for 66,89,89,166 is 487542.

Thus, GCF of Fractions is 1/487542.Finally, GCF of Fractions for 69/66, 15/89, 40/89, 82/166 is 1/487542.