Greatest Common Factor of 406/537, 5638/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/537, 5638/450

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 406/537,5638/450

Given fractions are 406/537,5638/450

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 406,5638

Greatest Common Factor of Numerators i.e. GCF of 406,5638 is 2 .

LCM of Denominators means LCM of 537,450 as per the given fractions.

LCM of 537,450 is 80550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,5638

GCF of Fractions 406/537,5638/450 is 2/80550

2 406, 5638
203, 2819

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

Greatest Common Factor of 406,5638 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,5638 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 5638

List of positive integer factors of 5638 that divides 5638 without a remainder.

1,2,2819,5638

Greatest Common Factor

We found the factors 406,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 406,5638 is 2.

Lets's calculate LCM of 537,450

3 537, 450
179, 150

∴ So the LCM of the given numbers is 3 x 179 x 150 = 80550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80550

Therefore, the GCF of Fractions 406/537,5638/450 is 2/80550

Least Common Multiple of 537,450 with GCF Formula

Least Common Multiple of 537,450 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 537,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,450) = 3

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

GCF(537,450) x common factors =3 x 1 = 3

LCM(537,450) = ( 537 × 450 ) / 3

LCM(537,450) = 241650 / 3

LCM(537,450) = 80550


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 406/537, 5638/450

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 406/537, 5638/450?

Answer: GCF of Numerators as per given numbers 406/537, 5638/450 is

GCF of Numerators i.e. for 406,5638 is 2

LCM of denominators i.e. for 537,450 is 80550.

Thus, GCF of Fractions is 2/80550.Finally, GCF of Fractions for 406/537, 5638/450 is 2/80550.