Greatest Common Factor of 4072/615, 2370/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4072/615, 2370/372

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 4072/615,2370/372

Given fractions are 4072/615,2370/372

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 4072,2370

Greatest Common Factor of Numerators i.e. GCF of 4072,2370 is 2 .

LCM of Denominators means LCM of 615,372 as per the given fractions.

LCM of 615,372 is 76260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4072,2370

GCF of Fractions 4072/615,2370/372 is 2/76260

2 4072, 2370
2036, 1185

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4072,2370 By Matching Biggest Common Factor Method

Greatest Common Factor of 4072,2370 By Matching Biggest Common Factor Method

Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1,2,4,8,509,1018,2036,4072

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Greatest Common Factor

We found the factors 4072,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 4072,2370 is 2.

Lets's calculate LCM of 615,372

3 615, 372
205, 124

∴ So the LCM of the given numbers is 3 x 205 x 124 = 76260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76260

Therefore, the GCF of Fractions 4072/615,2370/372 is 2/76260

Least Common Multiple of 615,372 with GCF Formula

Least Common Multiple of 615,372 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 615,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,372) = 3

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

GCF(615,372) x common factors =3 x 1 = 3

LCM(615,372) = ( 615 × 372 ) / 3

LCM(615,372) = 228780 / 3

LCM(615,372) = 76260


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 4072/615, 2370/372

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 4072/615, 2370/372?

Answer: GCF of Numerators as per given numbers 4072/615, 2370/372 is

GCF of Numerators i.e. for 4072,2370 is 2

LCM of denominators i.e. for 615,372 is 76260.

Thus, GCF of Fractions is 2/76260.Finally, GCF of Fractions for 4072/615, 2370/372 is 2/76260.