Greatest Common Factor of 2138/422, 1826/9897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2138/422, 1826/9897

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 2138/422,1826/9897

Given fractions are 2138/422,1826/9897

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 2138,1826

Greatest Common Factor of Numerators i.e. GCF of 2138,1826 is 2 .

LCM of Denominators means LCM of 422,9897 as per the given fractions.

LCM of 422,9897 is 4176534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2138,1826

GCF of Fractions 2138/422,1826/9897 is 2/4176534

2 2138, 1826
1069, 913

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

Greatest Common Factor of 2138,1826 By Matching Biggest Common Factor Method

Greatest Common Factor of 2138,1826 By Matching Biggest Common Factor Method

Factors of 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1,2,1069,2138

Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1,2,11,22,83,166,913,1826

Greatest Common Factor

We found the factors 2138,1826 . The biggest common factor number is the GCF number.
So the greatest common factor 2138,1826 is 2.

Lets's calculate LCM of 422,9897

Given numbers has no common factors except 1. So, there LCM is their product i.e 4176534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4176534

Therefore, the GCF of Fractions 2138/422,1826/9897 is 2/4176534

Least Common Multiple of 422,9897 with GCF Formula

Least Common Multiple of 422,9897 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 422,9897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,9897) = 1

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

GCF(422,9897) x common factors =1 x 1 = 1

LCM(422,9897) = ( 422 × 9897 ) / 1

LCM(422,9897) = 4176534 / 1

LCM(422,9897) = 4176534


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 2138/422, 1826/9897

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 2138/422, 1826/9897?

Answer: GCF of Numerators as per given numbers 2138/422, 1826/9897 is

GCF of Numerators i.e. for 2138,1826 is 2

LCM of denominators i.e. for 422,9897 is 4176534.

Thus, GCF of Fractions is 2/4176534.Finally, GCF of Fractions for 2138/422, 1826/9897 is 2/4176534.