Greatest Common Factor of 672/12, 675/11, 831/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/12, 675/11, 831/753

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 672/12,675/11,831/753

Given fractions are 672/12,675/11,831/753

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 672,675,831

Greatest Common Factor of Numerators i.e. GCF of 672,675,831 is 3 .

LCM of Denominators means LCM of 12,11,753 as per the given fractions.

LCM of 12,11,753 is 33132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,675,831

GCF of Fractions 672/12,675/11,831/753 is 3/33132

3 672, 675, 831
224, 225, 277

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

Greatest Common Factor of 672,675,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,675,831 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 672,675,831 . The biggest common factor number is the GCF number.
So the greatest common factor 672,675,831 is 3.

Lets's calculate LCM of 12,11,753

3 12, 11, 753
4, 11, 251

∴ So the LCM of the given numbers is 3 x 4 x 11 x 251 = 33132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33132

Therefore, the GCF of Fractions 672/12,675/11,831/753 is 3/33132

Least Common Multiple of 12,11,753 with GCF Formula

Least Common Multiple of 12,11,753 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 12,11,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,11,753) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,11,753) x common factors =1 x 3 = 3

LCM(12,11,753) = ( 12 × 11 × 753 ) / 3

LCM(12,11,753) = 99396 / 3

LCM(12,11,753) = 33132


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 672/12, 675/11, 831/753

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 672/12, 675/11, 831/753?

Answer: GCF of Numerators as per given numbers 672/12, 675/11, 831/753 is

GCF of Numerators i.e. for 672,675,831 is 3

LCM of denominators i.e. for 12,11,753 is 33132.

Thus, GCF of Fractions is 3/33132.Finally, GCF of Fractions for 672/12, 675/11, 831/753 is 3/33132.