Greatest Common Factor of 15/421, 2460/9203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/421, 2460/9203

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 15/421,2460/9203

Given fractions are 15/421,2460/9203

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 15,2460

Greatest Common Factor of Numerators i.e. GCF of 15,2460 is 15 .

LCM of Denominators means LCM of 421,9203 as per the given fractions.

LCM of 421,9203 is 3874463 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,2460

GCF of Fractions 15/421,2460/9203 is 15/3874463

3 15, 2460
5 5, 820
1, 164

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 15,2460 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,2460 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Greatest Common Factor

We found the factors 15,2460 . The biggest common factor number is the GCF number.
So the greatest common factor 15,2460 is 15.

Lets's calculate LCM of 421,9203

Given numbers has no common factors except 1. So, there LCM is their product i.e 3874463

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3874463

Therefore, the GCF of Fractions 15/421,2460/9203 is 15/3874463

Least Common Multiple of 421,9203 with GCF Formula

Least Common Multiple of 421,9203 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 421,9203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,9203) = 1

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

GCF(421,9203) x common factors =1 x 1 = 1

LCM(421,9203) = ( 421 × 9203 ) / 1

LCM(421,9203) = 3874463 / 1

LCM(421,9203) = 3874463


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 15/421, 2460/9203

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 15/421, 2460/9203?

Answer: GCF of Numerators as per given numbers 15/421, 2460/9203 is

GCF of Numerators i.e. for 15,2460 is 15

LCM of denominators i.e. for 421,9203 is 3874463.

Thus, GCF of Fractions is 15/3874463.Finally, GCF of Fractions for 15/421, 2460/9203 is 15/3874463.