Greatest Common Factor of 15/23, 49/37, 57/13, 144/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/23, 49/37, 57/13, 144/54

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 15/23,49/37,57/13,144/54

Given fractions are 15/23,49/37,57/13,144/54

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 15,49,57,144

Greatest Common Factor of Numerators i.e. GCF of 15,49,57,144 is 1 .

LCM of Denominators means LCM of 23,37,13,54 as per the given fractions.

LCM of 23,37,13,54 is 597402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,49,57,144

GCF of Fractions 15/23,49/37,57/13,144/54 is 1/597402

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 15,49,57,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,49,57,144 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 15,49,57,144 . The biggest common factor number is the GCF number.
So the greatest common factor 15,49,57,144 is 1.

Lets's calculate LCM of 23,37,13,54

Given numbers has no common factors except 1. So, there LCM is their product i.e 597402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597402

Therefore, the GCF of Fractions 15/23,49/37,57/13,144/54 is 1/597402

Least Common Multiple of 23,37,13,54 with GCF Formula

Least Common Multiple of 23,37,13,54 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 23,37,13,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,37,13,54) = 1

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

GCF(23,37,13,54) x common factors =1 x 1 = 1

LCM(23,37,13,54) = ( 23 × 37 × 13 × 54 ) / 1

LCM(23,37,13,54) = 597402 / 1

LCM(23,37,13,54) = 597402


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 15/23, 49/37, 57/13, 144/54

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 15/23, 49/37, 57/13, 144/54?

Answer: GCF of Numerators as per given numbers 15/23, 49/37, 57/13, 144/54 is

GCF of Numerators i.e. for 15,49,57,144 is 1

LCM of denominators i.e. for 23,37,13,54 is 597402.

Thus, GCF of Fractions is 1/597402.Finally, GCF of Fractions for 15/23, 49/37, 57/13, 144/54 is 1/597402.