Greatest Common Factor of 12/606, 54/367, 304/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/606, 54/367, 304/751

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 12/606,54/367,304/751

Given fractions are 12/606,54/367,304/751

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 12,54,304

Greatest Common Factor of Numerators i.e. GCF of 12,54,304 is 2 .

LCM of Denominators means LCM of 606,367,751 as per the given fractions.

LCM of 606,367,751 is 167023902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,54,304

GCF of Fractions 12/606,54/367,304/751 is 2/167023902

2 12, 54, 304
6, 27, 152

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

Greatest Common Factor of 12,54,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,54,304 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 12,54,304 . The biggest common factor number is the GCF number.
So the greatest common factor 12,54,304 is 2.

Lets's calculate LCM of 606,367,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 167023902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167023902

Therefore, the GCF of Fractions 12/606,54/367,304/751 is 2/167023902

Least Common Multiple of 606,367,751 with GCF Formula

Least Common Multiple of 606,367,751 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 606,367,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,367,751) = 1

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

GCF(606,367,751) x common factors =1 x 1 = 1

LCM(606,367,751) = ( 606 × 367 × 751 ) / 1

LCM(606,367,751) = 167023902 / 1

LCM(606,367,751) = 167023902


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 12/606, 54/367, 304/751

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 12/606, 54/367, 304/751?

Answer: GCF of Numerators as per given numbers 12/606, 54/367, 304/751 is

GCF of Numerators i.e. for 12,54,304 is 2

LCM of denominators i.e. for 606,367,751 is 167023902.

Thus, GCF of Fractions is 2/167023902.Finally, GCF of Fractions for 12/606, 54/367, 304/751 is 2/167023902.