Greatest Common Factor of 638/406, 2761/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/406, 2761/199

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 638/406,2761/199

Given fractions are 638/406,2761/199

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 638,2761

Greatest Common Factor of Numerators i.e. GCF of 638,2761 is 11 .

LCM of Denominators means LCM of 406,199 as per the given fractions.

LCM of 406,199 is 80794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,2761

GCF of Fractions 638/406,2761/199 is 11/80794

11 638, 2761
58, 251

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

Greatest Common Factor of 638,2761 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,2761 By Matching Biggest Common Factor Method

Factors of 638

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

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

Factors of 2761

List of positive integer factors of 2761 that divides 2761 without a remainder.

1,11,251,2761

Greatest Common Factor

We found the factors 638,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 638,2761 is 11.

Lets's calculate LCM of 406,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 80794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/80794

Therefore, the GCF of Fractions 638/406,2761/199 is 11/80794

Least Common Multiple of 406,199 with GCF Formula

Least Common Multiple of 406,199 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 406,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,199) = 1

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

GCF(406,199) x common factors =1 x 1 = 1

LCM(406,199) = ( 406 × 199 ) / 1

LCM(406,199) = 80794 / 1

LCM(406,199) = 80794


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 638/406, 2761/199

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 638/406, 2761/199?

Answer: GCF of Numerators as per given numbers 638/406, 2761/199 is

GCF of Numerators i.e. for 638,2761 is 11

LCM of denominators i.e. for 406,199 is 80794.

Thus, GCF of Fractions is 11/80794.Finally, GCF of Fractions for 638/406, 2761/199 is 11/80794.