Greatest Common Factor of 612/84, 275/47, 538/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/84, 275/47, 538/37

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 612/84,275/47,538/37

Given fractions are 612/84,275/47,538/37

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 612,275,538

Greatest Common Factor of Numerators i.e. GCF of 612,275,538 is 1 .

LCM of Denominators means LCM of 84,47,37 as per the given fractions.

LCM of 84,47,37 is 146076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,275,538

GCF of Fractions 612/84,275/47,538/37 is 1/146076

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

Greatest Common Factor of 612,275,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,275,538 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 612,275,538 . The biggest common factor number is the GCF number.
So the greatest common factor 612,275,538 is 1.

Lets's calculate LCM of 84,47,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 146076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146076

Therefore, the GCF of Fractions 612/84,275/47,538/37 is 1/146076

Least Common Multiple of 84,47,37 with GCF Formula

Least Common Multiple of 84,47,37 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 84,47,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,47,37) = 1

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

GCF(84,47,37) x common factors =1 x 1 = 1

LCM(84,47,37) = ( 84 × 47 × 37 ) / 1

LCM(84,47,37) = 146076 / 1

LCM(84,47,37) = 146076


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 612/84, 275/47, 538/37

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 612/84, 275/47, 538/37?

Answer: GCF of Numerators as per given numbers 612/84, 275/47, 538/37 is

GCF of Numerators i.e. for 612,275,538 is 1

LCM of denominators i.e. for 84,47,37 is 146076.

Thus, GCF of Fractions is 1/146076.Finally, GCF of Fractions for 612/84, 275/47, 538/37 is 1/146076.