Greatest Common Factor of 406/466, 8678/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/466, 8678/731

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 406/466,8678/731

Given fractions are 406/466,8678/731

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 406,8678

Greatest Common Factor of Numerators i.e. GCF of 406,8678 is 2 .

LCM of Denominators means LCM of 466,731 as per the given fractions.

LCM of 466,731 is 340646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,8678

GCF of Fractions 406/466,8678/731 is 2/340646

2 406, 8678
203, 4339

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

Greatest Common Factor of 406,8678 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,8678 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 8678

List of positive integer factors of 8678 that divides 8678 without a remainder.

1,2,4339,8678

Greatest Common Factor

We found the factors 406,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 406,8678 is 2.

Lets's calculate LCM of 466,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 340646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/340646

Therefore, the GCF of Fractions 406/466,8678/731 is 2/340646

Least Common Multiple of 466,731 with GCF Formula

Least Common Multiple of 466,731 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 466,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,731) = 1

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

GCF(466,731) x common factors =1 x 1 = 1

LCM(466,731) = ( 466 × 731 ) / 1

LCM(466,731) = 340646 / 1

LCM(466,731) = 340646


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 406/466, 8678/731

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 406/466, 8678/731?

Answer: GCF of Numerators as per given numbers 406/466, 8678/731 is

GCF of Numerators i.e. for 406,8678 is 2

LCM of denominators i.e. for 466,731 is 340646.

Thus, GCF of Fractions is 2/340646.Finally, GCF of Fractions for 406/466, 8678/731 is 2/340646.