Greatest Common Factor of 1737/47, 4507/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1737/47, 4507/973

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 1737/47,4507/973

Given fractions are 1737/47,4507/973

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 1737,4507

Greatest Common Factor of Numerators i.e. GCF of 1737,4507 is 1 .

LCM of Denominators means LCM of 47,973 as per the given fractions.

LCM of 47,973 is 45731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1737,4507

GCF of Fractions 1737/47,4507/973 is 1/45731

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

Greatest Common Factor of 1737,4507 By Matching Biggest Common Factor Method

Greatest Common Factor of 1737,4507 By Matching Biggest Common Factor Method

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1,3,9,193,579,1737

Factors of 4507

List of positive integer factors of 4507 that divides 4507 without a remainder.

1,4507

Greatest Common Factor

We found the factors 1737,4507 . The biggest common factor number is the GCF number.
So the greatest common factor 1737,4507 is 1.

Lets's calculate LCM of 47,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 45731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45731

Therefore, the GCF of Fractions 1737/47,4507/973 is 1/45731

Least Common Multiple of 47,973 with GCF Formula

Least Common Multiple of 47,973 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 47,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,973) = 1

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

GCF(47,973) x common factors =1 x 1 = 1

LCM(47,973) = ( 47 × 973 ) / 1

LCM(47,973) = 45731 / 1

LCM(47,973) = 45731


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 1737/47, 4507/973

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 1737/47, 4507/973?

Answer: GCF of Numerators as per given numbers 1737/47, 4507/973 is

GCF of Numerators i.e. for 1737,4507 is 1

LCM of denominators i.e. for 47,973 is 45731.

Thus, GCF of Fractions is 1/45731.Finally, GCF of Fractions for 1737/47, 4507/973 is 1/45731.