Greatest Common Factor of 666/329, 954/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/329, 954/624

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 666/329,954/624

Given fractions are 666/329,954/624

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 666,954

Greatest Common Factor of Numerators i.e. GCF of 666,954 is 18 .

LCM of Denominators means LCM of 329,624 as per the given fractions.

LCM of 329,624 is 205296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,954

GCF of Fractions 666/329,954/624 is 18/205296

2 666, 954
3 333, 477
3 111, 159
37, 53

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 666,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,954 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 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 666,954 . The biggest common factor number is the GCF number.
So the greatest common factor 666,954 is 18.

Lets's calculate LCM of 329,624

Given numbers has no common factors except 1. So, there LCM is their product i.e 205296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/205296

Therefore, the GCF of Fractions 666/329,954/624 is 18/205296

Least Common Multiple of 329,624 with GCF Formula

Least Common Multiple of 329,624 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 329,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,624) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(329,624) x common factors =1 x 1 = 1

LCM(329,624) = ( 329 × 624 ) / 1

LCM(329,624) = 205296 / 1

LCM(329,624) = 205296


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 666/329, 954/624

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 666/329, 954/624?

Answer: GCF of Numerators as per given numbers 666/329, 954/624 is

GCF of Numerators i.e. for 666,954 is 18

LCM of denominators i.e. for 329,624 is 205296.

Thus, GCF of Fractions is 18/205296.Finally, GCF of Fractions for 666/329, 954/624 is 18/205296.