Greatest Common Factor of 38/303, 214/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/303, 214/403

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 38/303,214/403

Given fractions are 38/303,214/403

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 38,214

Greatest Common Factor of Numerators i.e. GCF of 38,214 is 2 .

LCM of Denominators means LCM of 303,403 as per the given fractions.

LCM of 303,403 is 122109 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,214

GCF of Fractions 38/303,214/403 is 2/122109

2 38, 214
19, 107

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

Greatest Common Factor of 38,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,214 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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 38,214 . The biggest common factor number is the GCF number.
So the greatest common factor 38,214 is 2.

Lets's calculate LCM of 303,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 122109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122109

Therefore, the GCF of Fractions 38/303,214/403 is 2/122109

Least Common Multiple of 303,403 with GCF Formula

Least Common Multiple of 303,403 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 303,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,403) = 1

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

GCF(303,403) x common factors =1 x 1 = 1

LCM(303,403) = ( 303 × 403 ) / 1

LCM(303,403) = 122109 / 1

LCM(303,403) = 122109


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 38/303, 214/403

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 38/303, 214/403?

Answer: GCF of Numerators as per given numbers 38/303, 214/403 is

GCF of Numerators i.e. for 38,214 is 2

LCM of denominators i.e. for 303,403 is 122109.

Thus, GCF of Fractions is 2/122109.Finally, GCF of Fractions for 38/303, 214/403 is 2/122109.