Greatest Common Factor of 2338/138, 2546/2350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2338/138, 2546/2350

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 2338/138,2546/2350

Given fractions are 2338/138,2546/2350

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 2338,2546

Greatest Common Factor of Numerators i.e. GCF of 2338,2546 is 2 .

LCM of Denominators means LCM of 138,2350 as per the given fractions.

LCM of 138,2350 is 162150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2338,2546

GCF of Fractions 2338/138,2546/2350 is 2/162150

2 2338, 2546
1169, 1273

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

Greatest Common Factor of 2338,2546 By Matching Biggest Common Factor Method

Greatest Common Factor of 2338,2546 By Matching Biggest Common Factor Method

Factors of 2338

List of positive integer factors of 2338 that divides 2338 without a remainder.

1,2,7,14,167,334,1169,2338

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Greatest Common Factor

We found the factors 2338,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,2546 is 2.

Lets's calculate LCM of 138,2350

2 138, 2350
69, 1175

∴ So the LCM of the given numbers is 2 x 69 x 1175 = 162150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162150

Therefore, the GCF of Fractions 2338/138,2546/2350 is 2/162150

Least Common Multiple of 138,2350 with GCF Formula

Least Common Multiple of 138,2350 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 138,2350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,2350) = 2

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

GCF(138,2350) x common factors =2 x 1 = 2

LCM(138,2350) = ( 138 × 2350 ) / 2

LCM(138,2350) = 324300 / 2

LCM(138,2350) = 162150


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 2338/138, 2546/2350

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 2338/138, 2546/2350?

Answer: GCF of Numerators as per given numbers 2338/138, 2546/2350 is

GCF of Numerators i.e. for 2338,2546 is 2

LCM of denominators i.e. for 138,2350 is 162150.

Thus, GCF of Fractions is 2/162150.Finally, GCF of Fractions for 2338/138, 2546/2350 is 2/162150.