Greatest Common Factor of 4740/52, 2073/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4740/52, 2073/339

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 4740/52,2073/339

Given fractions are 4740/52,2073/339

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 4740,2073

Greatest Common Factor of Numerators i.e. GCF of 4740,2073 is 3 .

LCM of Denominators means LCM of 52,339 as per the given fractions.

LCM of 52,339 is 17628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4740,2073

GCF of Fractions 4740/52,2073/339 is 3/17628

3 4740, 2073
1580, 691

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4740,2073 By Matching Biggest Common Factor Method

Greatest Common Factor of 4740,2073 By Matching Biggest Common Factor Method

Factors of 4740

List of positive integer factors of 4740 that divides 4740 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740

Factors of 2073

List of positive integer factors of 2073 that divides 2073 without a remainder.

1,3,691,2073

Greatest Common Factor

We found the factors 4740,2073 . The biggest common factor number is the GCF number.
So the greatest common factor 4740,2073 is 3.

Lets's calculate LCM of 52,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 17628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17628

Therefore, the GCF of Fractions 4740/52,2073/339 is 3/17628

Least Common Multiple of 52,339 with GCF Formula

Least Common Multiple of 52,339 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 52,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,339) = 1

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

GCF(52,339) x common factors =1 x 1 = 1

LCM(52,339) = ( 52 × 339 ) / 1

LCM(52,339) = 17628 / 1

LCM(52,339) = 17628


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 4740/52, 2073/339

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 4740/52, 2073/339?

Answer: GCF of Numerators as per given numbers 4740/52, 2073/339 is

GCF of Numerators i.e. for 4740,2073 is 3

LCM of denominators i.e. for 52,339 is 17628.

Thus, GCF of Fractions is 3/17628.Finally, GCF of Fractions for 4740/52, 2073/339 is 3/17628.