Greatest Common Factor of 406/72, 1084/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/72, 1084/317

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 406/72,1084/317

Given fractions are 406/72,1084/317

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 406,1084

Greatest Common Factor of Numerators i.e. GCF of 406,1084 is 2 .

LCM of Denominators means LCM of 72,317 as per the given fractions.

LCM of 72,317 is 22824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,1084

GCF of Fractions 406/72,1084/317 is 2/22824

2 406, 1084
203, 542

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

Greatest Common Factor of 406,1084 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,1084 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 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Greatest Common Factor

We found the factors 406,1084 . The biggest common factor number is the GCF number.
So the greatest common factor 406,1084 is 2.

Lets's calculate LCM of 72,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 22824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22824

Therefore, the GCF of Fractions 406/72,1084/317 is 2/22824

Least Common Multiple of 72,317 with GCF Formula

Least Common Multiple of 72,317 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 72,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,317) = 1

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

GCF(72,317) x common factors =1 x 1 = 1

LCM(72,317) = ( 72 × 317 ) / 1

LCM(72,317) = 22824 / 1

LCM(72,317) = 22824


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 406/72, 1084/317

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 406/72, 1084/317?

Answer: GCF of Numerators as per given numbers 406/72, 1084/317 is

GCF of Numerators i.e. for 406,1084 is 2

LCM of denominators i.e. for 72,317 is 22824.

Thus, GCF of Fractions is 2/22824.Finally, GCF of Fractions for 406/72, 1084/317 is 2/22824.