Greatest Common Factor of 7230/463, 4189/9215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7230/463, 4189/9215

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 7230/463,4189/9215

Given fractions are 7230/463,4189/9215

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 7230,4189

Greatest Common Factor of Numerators i.e. GCF of 7230,4189 is 1 .

LCM of Denominators means LCM of 463,9215 as per the given fractions.

LCM of 463,9215 is 4266545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7230,4189

GCF of Fractions 7230/463,4189/9215 is 1/4266545

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

Greatest Common Factor of 7230,4189 By Matching Biggest Common Factor Method

Greatest Common Factor of 7230,4189 By Matching Biggest Common Factor Method

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Factors of 4189

List of positive integer factors of 4189 that divides 4189 without a remainder.

1,59,71,4189

Greatest Common Factor

We found the factors 7230,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 7230,4189 is 1.

Lets's calculate LCM of 463,9215

Given numbers has no common factors except 1. So, there LCM is their product i.e 4266545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4266545

Therefore, the GCF of Fractions 7230/463,4189/9215 is 1/4266545

Least Common Multiple of 463,9215 with GCF Formula

Least Common Multiple of 463,9215 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 463,9215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,9215) = 1

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

GCF(463,9215) x common factors =1 x 1 = 1

LCM(463,9215) = ( 463 × 9215 ) / 1

LCM(463,9215) = 4266545 / 1

LCM(463,9215) = 4266545


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 7230/463, 4189/9215

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 7230/463, 4189/9215?

Answer: GCF of Numerators as per given numbers 7230/463, 4189/9215 is

GCF of Numerators i.e. for 7230,4189 is 1

LCM of denominators i.e. for 463,9215 is 4266545.

Thus, GCF of Fractions is 1/4266545.Finally, GCF of Fractions for 7230/463, 4189/9215 is 1/4266545.