Greatest Common Factor of 407/800, 638/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/800, 638/558

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 407/800,638/558

Given fractions are 407/800,638/558

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 407,638

Greatest Common Factor of Numerators i.e. GCF of 407,638 is 11 .

LCM of Denominators means LCM of 800,558 as per the given fractions.

LCM of 800,558 is 223200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,638

GCF of Fractions 407/800,638/558 is 11/223200

11 407, 638
37, 58

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 407,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,638 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 407,638 . The biggest common factor number is the GCF number.
So the greatest common factor 407,638 is 11.

Lets's calculate LCM of 800,558

2 800, 558
400, 279

∴ So the LCM of the given numbers is 2 x 400 x 279 = 223200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/223200

Therefore, the GCF of Fractions 407/800,638/558 is 11/223200

Least Common Multiple of 800,558 with GCF Formula

Least Common Multiple of 800,558 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 800,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,558) = 2

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

GCF(800,558) x common factors =2 x 1 = 2

LCM(800,558) = ( 800 × 558 ) / 2

LCM(800,558) = 446400 / 2

LCM(800,558) = 223200


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 407/800, 638/558

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 407/800, 638/558?

Answer: GCF of Numerators as per given numbers 407/800, 638/558 is

GCF of Numerators i.e. for 407,638 is 11

LCM of denominators i.e. for 800,558 is 223200.

Thus, GCF of Fractions is 11/223200.Finally, GCF of Fractions for 407/800, 638/558 is 11/223200.