Greatest Common Factor of 2300/89, 4021/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2300/89, 4021/214

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 2300/89,4021/214

Given fractions are 2300/89,4021/214

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 2300,4021

Greatest Common Factor of Numerators i.e. GCF of 2300,4021 is 1 .

LCM of Denominators means LCM of 89,214 as per the given fractions.

LCM of 89,214 is 19046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2300,4021

GCF of Fractions 2300/89,4021/214 is 1/19046

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

Greatest Common Factor of 2300,4021 By Matching Biggest Common Factor Method

Greatest Common Factor of 2300,4021 By Matching Biggest Common Factor Method

Factors of 2300

List of positive integer factors of 2300 that divides 2300 without a remainder.

1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300

Factors of 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1,4021

Greatest Common Factor

We found the factors 2300,4021 . The biggest common factor number is the GCF number.
So the greatest common factor 2300,4021 is 1.

Lets's calculate LCM of 89,214

Given numbers has no common factors except 1. So, there LCM is their product i.e 19046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19046

Therefore, the GCF of Fractions 2300/89,4021/214 is 1/19046

Least Common Multiple of 89,214 with GCF Formula

Least Common Multiple of 89,214 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 89,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,214) = 1

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

GCF(89,214) x common factors =1 x 1 = 1

LCM(89,214) = ( 89 × 214 ) / 1

LCM(89,214) = 19046 / 1

LCM(89,214) = 19046


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 2300/89, 4021/214

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 2300/89, 4021/214?

Answer: GCF of Numerators as per given numbers 2300/89, 4021/214 is

GCF of Numerators i.e. for 2300,4021 is 1

LCM of denominators i.e. for 89,214 is 19046.

Thus, GCF of Fractions is 1/19046.Finally, GCF of Fractions for 2300/89, 4021/214 is 1/19046.