Greatest Common Factor of 9/63, 66/27, 24/901, 414/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/63, 66/27, 24/901, 414/687

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 9/63,66/27,24/901,414/687

Given fractions are 9/63,66/27,24/901,414/687

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 9,66,24,414

Greatest Common Factor of Numerators i.e. GCF of 9,66,24,414 is 3 .

LCM of Denominators means LCM of 63,27,901,687 as per the given fractions.

LCM of 63,27,901,687 is 38996181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,66,24,414

GCF of Fractions 9/63,66/27,24/901,414/687 is 3/38996181

3 9, 66, 24, 414
3, 22, 8, 138

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9,66,24,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,66,24,414 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 9,66,24,414 . The biggest common factor number is the GCF number.
So the greatest common factor 9,66,24,414 is 3.

Lets's calculate LCM of 63,27,901,687

3 63, 27, 901, 687
3 21, 9, 901, 229
7, 3, 901, 229

∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 901 x 229 = 38996181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38996181

Therefore, the GCF of Fractions 9/63,66/27,24/901,414/687 is 3/38996181

Least Common Multiple of 63,27,901,687 with GCF Formula

Least Common Multiple of 63,27,901,687 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 63,27,901,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,27,901,687) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(63,27,901,687) x common factors =1 x 27 = 27

LCM(63,27,901,687) = ( 63 × 27 × 901 × 687 ) / 27

LCM(63,27,901,687) = 1052896887 / 27

LCM(63,27,901,687) = 38996181


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 9/63, 66/27, 24/901, 414/687

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 9/63, 66/27, 24/901, 414/687?

Answer: GCF of Numerators as per given numbers 9/63, 66/27, 24/901, 414/687 is

GCF of Numerators i.e. for 9,66,24,414 is 3

LCM of denominators i.e. for 63,27,901,687 is 38996181.

Thus, GCF of Fractions is 3/38996181.Finally, GCF of Fractions for 9/63, 66/27, 24/901, 414/687 is 3/38996181.