Greatest Common Factor of 1838/43, 2315/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1838/43, 2315/213

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 1838/43,2315/213

Given fractions are 1838/43,2315/213

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 1838,2315

Greatest Common Factor of Numerators i.e. GCF of 1838,2315 is 1 .

LCM of Denominators means LCM of 43,213 as per the given fractions.

LCM of 43,213 is 9159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1838,2315

GCF of Fractions 1838/43,2315/213 is 1/9159

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

Greatest Common Factor of 1838,2315 By Matching Biggest Common Factor Method

Greatest Common Factor of 1838,2315 By Matching Biggest Common Factor Method

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Factors of 2315

List of positive integer factors of 2315 that divides 2315 without a remainder.

1,5,463,2315

Greatest Common Factor

We found the factors 1838,2315 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,2315 is 1.

Lets's calculate LCM of 43,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 9159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9159

Therefore, the GCF of Fractions 1838/43,2315/213 is 1/9159

Least Common Multiple of 43,213 with GCF Formula

Least Common Multiple of 43,213 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 43,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,213) = 1

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

GCF(43,213) x common factors =1 x 1 = 1

LCM(43,213) = ( 43 × 213 ) / 1

LCM(43,213) = 9159 / 1

LCM(43,213) = 9159


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 1838/43, 2315/213

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 1838/43, 2315/213?

Answer: GCF of Numerators as per given numbers 1838/43, 2315/213 is

GCF of Numerators i.e. for 1838,2315 is 1

LCM of denominators i.e. for 43,213 is 9159.

Thus, GCF of Fractions is 1/9159.Finally, GCF of Fractions for 1838/43, 2315/213 is 1/9159.