Greatest Common Factor of 2378/24, 3846/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2378/24, 3846/120

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 2378/24,3846/120

Given fractions are 2378/24,3846/120

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 2378,3846

Greatest Common Factor of Numerators i.e. GCF of 2378,3846 is 2 .

LCM of Denominators means LCM of 24,120 as per the given fractions.

LCM of 24,120 is 120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2378,3846

GCF of Fractions 2378/24,3846/120 is 2/120

2 2378, 3846
1189, 1923

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

Greatest Common Factor of 2378,3846 By Matching Biggest Common Factor Method

Greatest Common Factor of 2378,3846 By Matching Biggest Common Factor Method

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Factors of 3846

List of positive integer factors of 3846 that divides 3846 without a remainder.

1,2,3,6,641,1282,1923,3846

Greatest Common Factor

We found the factors 2378,3846 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,3846 is 2.

Lets's calculate LCM of 24,120

2 24, 120
2 12, 60
2 6, 30
3 3, 15
1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 5 = 120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120

Therefore, the GCF of Fractions 2378/24,3846/120 is 2/120

Least Common Multiple of 24,120 with GCF Formula

Least Common Multiple of 24,120 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 24,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,120) = 24

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

GCF(24,120) x common factors =24 x 1 = 24

LCM(24,120) = ( 24 × 120 ) / 24

LCM(24,120) = 2880 / 24

LCM(24,120) = 120


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 2378/24, 3846/120

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 2378/24, 3846/120?

Answer: GCF of Numerators as per given numbers 2378/24, 3846/120 is

GCF of Numerators i.e. for 2378,3846 is 2

LCM of denominators i.e. for 24,120 is 120.

Thus, GCF of Fractions is 2/120.Finally, GCF of Fractions for 2378/24, 3846/120 is 2/120.