Greatest Common Factor of 444/70, 309/39, 931/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/70, 309/39, 931/12

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 444/70,309/39,931/12

Given fractions are 444/70,309/39,931/12

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 444,309,931

Greatest Common Factor of Numerators i.e. GCF of 444,309,931 is 1 .

LCM of Denominators means LCM of 70,39,12 as per the given fractions.

LCM of 70,39,12 is 5460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,309,931

GCF of Fractions 444/70,309/39,931/12 is 1/5460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 444,309,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,309,931 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 444,309,931 . The biggest common factor number is the GCF number.
So the greatest common factor 444,309,931 is 1.

Lets's calculate LCM of 70,39,12

2 70, 39, 12
3 35, 39, 6
35, 13, 2

∴ So the LCM of the given numbers is 2 x 3 x 35 x 13 x 2 = 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5460

Therefore, the GCF of Fractions 444/70,309/39,931/12 is 1/5460

Least Common Multiple of 70,39,12 with GCF Formula

Least Common Multiple of 70,39,12 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 70,39,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,39,12) = 1

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

GCF(70,39,12) x common factors =1 x 6 = 6

LCM(70,39,12) = ( 70 × 39 × 12 ) / 6

LCM(70,39,12) = 32760 / 6

LCM(70,39,12) = 5460


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 444/70, 309/39, 931/12

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 444/70, 309/39, 931/12?

Answer: GCF of Numerators as per given numbers 444/70, 309/39, 931/12 is

GCF of Numerators i.e. for 444,309,931 is 1

LCM of denominators i.e. for 70,39,12 is 5460.

Thus, GCF of Fractions is 1/5460.Finally, GCF of Fractions for 444/70, 309/39, 931/12 is 1/5460.