Greatest Common Factor of 38/206, 39/402, 910/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/206, 39/402, 910/331

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 38/206,39/402,910/331

Given fractions are 38/206,39/402,910/331

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 38,39,910

Greatest Common Factor of Numerators i.e. GCF of 38,39,910 is 1 .

LCM of Denominators means LCM of 206,402,331 as per the given fractions.

LCM of 206,402,331 is 13705386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,39,910

GCF of Fractions 38/206,39/402,910/331 is 1/13705386

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 38,39,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,39,910 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 38,39,910 . The biggest common factor number is the GCF number.
So the greatest common factor 38,39,910 is 1.

Lets's calculate LCM of 206,402,331

2 206, 402, 331
103, 201, 331

∴ So the LCM of the given numbers is 2 x 103 x 201 x 331 = 13705386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13705386

Therefore, the GCF of Fractions 38/206,39/402,910/331 is 1/13705386

Least Common Multiple of 206,402,331 with GCF Formula

Least Common Multiple of 206,402,331 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 206,402,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,402,331) = 1

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

GCF(206,402,331) x common factors =1 x 2 = 2

LCM(206,402,331) = ( 206 × 402 × 331 ) / 2

LCM(206,402,331) = 27410772 / 2

LCM(206,402,331) = 13705386


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 38/206, 39/402, 910/331

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 38/206, 39/402, 910/331?

Answer: GCF of Numerators as per given numbers 38/206, 39/402, 910/331 is

GCF of Numerators i.e. for 38,39,910 is 1

LCM of denominators i.e. for 206,402,331 is 13705386.

Thus, GCF of Fractions is 1/13705386.Finally, GCF of Fractions for 38/206, 39/402, 910/331 is 1/13705386.