Greatest Common Factor of 66/69, 90/765, 728/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/69, 90/765, 728/287

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 66/69,90/765,728/287

Given fractions are 66/69,90/765,728/287

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 66,90,728

Greatest Common Factor of Numerators i.e. GCF of 66,90,728 is 2 .

LCM of Denominators means LCM of 69,765,287 as per the given fractions.

LCM of 69,765,287 is 5049765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,90,728

GCF of Fractions 66/69,90/765,728/287 is 2/5049765

2 66, 90, 728
33, 45, 364

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

Greatest Common Factor of 66,90,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,90,728 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 66,90,728 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,728 is 2.

Lets's calculate LCM of 69,765,287

3 69, 765, 287
23, 255, 287

∴ So the LCM of the given numbers is 3 x 23 x 255 x 287 = 5049765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5049765

Therefore, the GCF of Fractions 66/69,90/765,728/287 is 2/5049765

Least Common Multiple of 69,765,287 with GCF Formula

Least Common Multiple of 69,765,287 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 69,765,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,765,287) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,765,287) x common factors =1 x 3 = 3

LCM(69,765,287) = ( 69 × 765 × 287 ) / 3

LCM(69,765,287) = 15149295 / 3

LCM(69,765,287) = 5049765


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 66/69, 90/765, 728/287

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 66/69, 90/765, 728/287?

Answer: GCF of Numerators as per given numbers 66/69, 90/765, 728/287 is

GCF of Numerators i.e. for 66,90,728 is 2

LCM of denominators i.e. for 69,765,287 is 5049765.

Thus, GCF of Fractions is 2/5049765.Finally, GCF of Fractions for 66/69, 90/765, 728/287 is 2/5049765.