Greatest Common Factor of 63/438, 414/188, 666/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/438, 414/188, 666/669

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 63/438,414/188,666/669

Given fractions are 63/438,414/188,666/669

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 63,414,666

Greatest Common Factor of Numerators i.e. GCF of 63,414,666 is 9 .

LCM of Denominators means LCM of 438,188,669 as per the given fractions.

LCM of 438,188,669 is 9181356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,414,666

GCF of Fractions 63/438,414/188,666/669 is 9/9181356

3 63, 414, 666
3 21, 138, 222
7, 46, 74

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 63,414,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,414,666 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

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

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

Greatest Common Factor

We found the factors 63,414,666 . The biggest common factor number is the GCF number.
So the greatest common factor 63,414,666 is 9.

Lets's calculate LCM of 438,188,669

2 438, 188, 669
3 219, 94, 669
73, 94, 223

∴ So the LCM of the given numbers is 2 x 3 x 73 x 94 x 223 = 9181356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9181356

Therefore, the GCF of Fractions 63/438,414/188,666/669 is 9/9181356

Least Common Multiple of 438,188,669 with GCF Formula

Least Common Multiple of 438,188,669 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 438,188,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,188,669) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(438,188,669) x common factors =1 x 6 = 6

LCM(438,188,669) = ( 438 × 188 × 669 ) / 6

LCM(438,188,669) = 55088136 / 6

LCM(438,188,669) = 9181356


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 63/438, 414/188, 666/669

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 63/438, 414/188, 666/669?

Answer: GCF of Numerators as per given numbers 63/438, 414/188, 666/669 is

GCF of Numerators i.e. for 63,414,666 is 9

LCM of denominators i.e. for 438,188,669 is 9181356.

Thus, GCF of Fractions is 9/9181356.Finally, GCF of Fractions for 63/438, 414/188, 666/669 is 9/9181356.