Greatest Common Factor of 497/37, 185/51, 273/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/37, 185/51, 273/48

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 497/37,185/51,273/48

Given fractions are 497/37,185/51,273/48

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 497,185,273

Greatest Common Factor of Numerators i.e. GCF of 497,185,273 is 1 .

LCM of Denominators means LCM of 37,51,48 as per the given fractions.

LCM of 37,51,48 is 30192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,185,273

GCF of Fractions 497/37,185/51,273/48 is 1/30192

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

Greatest Common Factor of 497,185,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,185,273 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 497,185,273 . The biggest common factor number is the GCF number.
So the greatest common factor 497,185,273 is 1.

Lets's calculate LCM of 37,51,48

3 37, 51, 48
37, 17, 16

∴ So the LCM of the given numbers is 3 x 37 x 17 x 16 = 30192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30192

Therefore, the GCF of Fractions 497/37,185/51,273/48 is 1/30192

Least Common Multiple of 37,51,48 with GCF Formula

Least Common Multiple of 37,51,48 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 37,51,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,51,48) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,51,48) x common factors =1 x 3 = 3

LCM(37,51,48) = ( 37 × 51 × 48 ) / 3

LCM(37,51,48) = 90576 / 3

LCM(37,51,48) = 30192


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 497/37, 185/51, 273/48

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 497/37, 185/51, 273/48?

Answer: GCF of Numerators as per given numbers 497/37, 185/51, 273/48 is

GCF of Numerators i.e. for 497,185,273 is 1

LCM of denominators i.e. for 37,51,48 is 30192.

Thus, GCF of Fractions is 1/30192.Finally, GCF of Fractions for 497/37, 185/51, 273/48 is 1/30192.