Greatest Common Factor of 2030/622, 8421/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2030/622, 8421/231

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 2030/622,8421/231

Given fractions are 2030/622,8421/231

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 2030,8421

Greatest Common Factor of Numerators i.e. GCF of 2030,8421 is 7 .

LCM of Denominators means LCM of 622,231 as per the given fractions.

LCM of 622,231 is 143682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2030,8421

GCF of Fractions 2030/622,8421/231 is 7/143682

7 2030, 8421
290, 1203

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2030,8421 By Matching Biggest Common Factor Method

Greatest Common Factor of 2030,8421 By Matching Biggest Common Factor Method

Factors of 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030

Factors of 8421

List of positive integer factors of 8421 that divides 8421 without a remainder.

1,3,7,21,401,1203,2807,8421

Greatest Common Factor

We found the factors 2030,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 2030,8421 is 7.

Lets's calculate LCM of 622,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 143682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/143682

Therefore, the GCF of Fractions 2030/622,8421/231 is 7/143682

Least Common Multiple of 622,231 with GCF Formula

Least Common Multiple of 622,231 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 622,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,231) = 1

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

GCF(622,231) x common factors =1 x 1 = 1

LCM(622,231) = ( 622 × 231 ) / 1

LCM(622,231) = 143682 / 1

LCM(622,231) = 143682


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 2030/622, 8421/231

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 2030/622, 8421/231?

Answer: GCF of Numerators as per given numbers 2030/622, 8421/231 is

GCF of Numerators i.e. for 2030,8421 is 7

LCM of denominators i.e. for 622,231 is 143682.

Thus, GCF of Fractions is 7/143682.Finally, GCF of Fractions for 2030/622, 8421/231 is 7/143682.