Greatest Common Factor of 406/12, 267/24, 756/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/12, 267/24, 756/673

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 406/12,267/24,756/673

Given fractions are 406/12,267/24,756/673

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 406,267,756

Greatest Common Factor of Numerators i.e. GCF of 406,267,756 is 1 .

LCM of Denominators means LCM of 12,24,673 as per the given fractions.

LCM of 12,24,673 is 16152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,267,756

GCF of Fractions 406/12,267/24,756/673 is 1/16152

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

Greatest Common Factor of 406,267,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,267,756 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 406,267,756 . The biggest common factor number is the GCF number.
So the greatest common factor 406,267,756 is 1.

Lets's calculate LCM of 12,24,673

2 12, 24, 673
2 6, 12, 673
3 3, 6, 673
1, 2, 673

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 673 = 16152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16152

Therefore, the GCF of Fractions 406/12,267/24,756/673 is 1/16152

Least Common Multiple of 12,24,673 with GCF Formula

Least Common Multiple of 12,24,673 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 12,24,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,24,673) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,24,673) x common factors =1 x 12 = 12

LCM(12,24,673) = ( 12 × 24 × 673 ) / 12

LCM(12,24,673) = 193824 / 12

LCM(12,24,673) = 16152


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 406/12, 267/24, 756/673

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 406/12, 267/24, 756/673?

Answer: GCF of Numerators as per given numbers 406/12, 267/24, 756/673 is

GCF of Numerators i.e. for 406,267,756 is 1

LCM of denominators i.e. for 12,24,673 is 16152.

Thus, GCF of Fractions is 1/16152.Finally, GCF of Fractions for 406/12, 267/24, 756/673 is 1/16152.