Greatest Common Factor of 244/38, 240/2146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 244/38, 240/2146

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 244/38,240/2146

Given fractions are 244/38,240/2146

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 244,240

Greatest Common Factor of Numerators i.e. GCF of 244,240 is 4 .

LCM of Denominators means LCM of 38,2146 as per the given fractions.

LCM of 38,2146 is 40774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 244,240

GCF of Fractions 244/38,240/2146 is 4/40774

2 244, 240
2 122, 120
61, 60

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 244,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,240 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 244,240 . The biggest common factor number is the GCF number.
So the greatest common factor 244,240 is 4.

Lets's calculate LCM of 38,2146

2 38, 2146
19, 1073

∴ So the LCM of the given numbers is 2 x 19 x 1073 = 40774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40774

Therefore, the GCF of Fractions 244/38,240/2146 is 4/40774

Least Common Multiple of 38,2146 with GCF Formula

Least Common Multiple of 38,2146 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 38,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2146) = 2

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

GCF(38,2146) x common factors =2 x 1 = 2

LCM(38,2146) = ( 38 × 2146 ) / 2

LCM(38,2146) = 81548 / 2

LCM(38,2146) = 40774


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 244/38, 240/2146

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 244/38, 240/2146?

Answer: GCF of Numerators as per given numbers 244/38, 240/2146 is

GCF of Numerators i.e. for 244,240 is 4

LCM of denominators i.e. for 38,2146 is 40774.

Thus, GCF of Fractions is 4/40774.Finally, GCF of Fractions for 244/38, 240/2146 is 4/40774.