Greatest Common Factor of 2415/473, 4080/1847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2415/473, 4080/1847

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 2415/473,4080/1847

Given fractions are 2415/473,4080/1847

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 2415,4080

Greatest Common Factor of Numerators i.e. GCF of 2415,4080 is 15 .

LCM of Denominators means LCM of 473,1847 as per the given fractions.

LCM of 473,1847 is 873631 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2415,4080

GCF of Fractions 2415/473,4080/1847 is 15/873631

3 2415, 4080
5 805, 1360
161, 272

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

Greatest Common Factor of 2415,4080 By Matching Biggest Common Factor Method

Greatest Common Factor of 2415,4080 By Matching Biggest Common Factor Method

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Greatest Common Factor

We found the factors 2415,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 2415,4080 is 15.

Lets's calculate LCM of 473,1847

Given numbers has no common factors except 1. So, there LCM is their product i.e 873631

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/873631

Therefore, the GCF of Fractions 2415/473,4080/1847 is 15/873631

Least Common Multiple of 473,1847 with GCF Formula

Least Common Multiple of 473,1847 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 473,1847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,1847) = 1

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

GCF(473,1847) x common factors =1 x 1 = 1

LCM(473,1847) = ( 473 × 1847 ) / 1

LCM(473,1847) = 873631 / 1

LCM(473,1847) = 873631


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 2415/473, 4080/1847

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 2415/473, 4080/1847?

Answer: GCF of Numerators as per given numbers 2415/473, 4080/1847 is

GCF of Numerators i.e. for 2415,4080 is 15

LCM of denominators i.e. for 473,1847 is 873631.

Thus, GCF of Fractions is 15/873631.Finally, GCF of Fractions for 2415/473, 4080/1847 is 15/873631.