Greatest Common Factor of 37/13, 73/42, 513/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/13, 73/42, 513/14

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 37/13,73/42,513/14

Given fractions are 37/13,73/42,513/14

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 37,73,513

Greatest Common Factor of Numerators i.e. GCF of 37,73,513 is 1 .

LCM of Denominators means LCM of 13,42,14 as per the given fractions.

LCM of 13,42,14 is 546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,73,513

GCF of Fractions 37/13,73/42,513/14 is 1/546

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

Greatest Common Factor of 37,73,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,73,513 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 37,73,513 . The biggest common factor number is the GCF number.
So the greatest common factor 37,73,513 is 1.

Lets's calculate LCM of 13,42,14

2 13, 42, 14
7 13, 21, 7
13, 3, 1

∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 1 = 546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546

Therefore, the GCF of Fractions 37/13,73/42,513/14 is 1/546

Least Common Multiple of 13,42,14 with GCF Formula

Least Common Multiple of 13,42,14 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 13,42,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,42,14) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(13,42,14) x common factors =1 x 14 = 14

LCM(13,42,14) = ( 13 × 42 × 14 ) / 14

LCM(13,42,14) = 7644 / 14

LCM(13,42,14) = 546


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 37/13, 73/42, 513/14

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 37/13, 73/42, 513/14?

Answer: GCF of Numerators as per given numbers 37/13, 73/42, 513/14 is

GCF of Numerators i.e. for 37,73,513 is 1

LCM of denominators i.e. for 13,42,14 is 546.

Thus, GCF of Fractions is 1/546.Finally, GCF of Fractions for 37/13, 73/42, 513/14 is 1/546.