Greatest Common Factor of 682/72, 586/31, 916/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/72, 586/31, 916/406

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 682/72,586/31,916/406

Given fractions are 682/72,586/31,916/406

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 682,586,916

Greatest Common Factor of Numerators i.e. GCF of 682,586,916 is 2 .

LCM of Denominators means LCM of 72,31,406 as per the given fractions.

LCM of 72,31,406 is 453096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,586,916

GCF of Fractions 682/72,586/31,916/406 is 2/453096

2 682, 586, 916
341, 293, 458

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

Greatest Common Factor of 682,586,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,586,916 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 682,586,916 . The biggest common factor number is the GCF number.
So the greatest common factor 682,586,916 is 2.

Lets's calculate LCM of 72,31,406

2 72, 31, 406
36, 31, 203

∴ So the LCM of the given numbers is 2 x 36 x 31 x 203 = 453096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453096

Therefore, the GCF of Fractions 682/72,586/31,916/406 is 2/453096

Least Common Multiple of 72,31,406 with GCF Formula

Least Common Multiple of 72,31,406 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 72,31,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,31,406) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,31,406) x common factors =1 x 2 = 2

LCM(72,31,406) = ( 72 × 31 × 406 ) / 2

LCM(72,31,406) = 906192 / 2

LCM(72,31,406) = 453096


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 682/72, 586/31, 916/406

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 682/72, 586/31, 916/406?

Answer: GCF of Numerators as per given numbers 682/72, 586/31, 916/406 is

GCF of Numerators i.e. for 682,586,916 is 2

LCM of denominators i.e. for 72,31,406 is 453096.

Thus, GCF of Fractions is 2/453096.Finally, GCF of Fractions for 682/72, 586/31, 916/406 is 2/453096.