Greatest Common Factor of 359/49, 973/33, 221/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 359/49, 973/33, 221/54

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 359/49,973/33,221/54

Given fractions are 359/49,973/33,221/54

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 359,973,221

Greatest Common Factor of Numerators i.e. GCF of 359,973,221 is 1 .

LCM of Denominators means LCM of 49,33,54 as per the given fractions.

LCM of 49,33,54 is 29106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 359,973,221

GCF of Fractions 359/49,973/33,221/54 is 1/29106

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

Greatest Common Factor of 359,973,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,973,221 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 359,973,221 . The biggest common factor number is the GCF number.
So the greatest common factor 359,973,221 is 1.

Lets's calculate LCM of 49,33,54

3 49, 33, 54
49, 11, 18

∴ So the LCM of the given numbers is 3 x 49 x 11 x 18 = 29106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29106

Therefore, the GCF of Fractions 359/49,973/33,221/54 is 1/29106

Least Common Multiple of 49,33,54 with GCF Formula

Least Common Multiple of 49,33,54 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 49,33,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,33,54) = 1

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

GCF(49,33,54) x common factors =1 x 3 = 3

LCM(49,33,54) = ( 49 × 33 × 54 ) / 3

LCM(49,33,54) = 87318 / 3

LCM(49,33,54) = 29106


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 359/49, 973/33, 221/54

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 359/49, 973/33, 221/54?

Answer: GCF of Numerators as per given numbers 359/49, 973/33, 221/54 is

GCF of Numerators i.e. for 359,973,221 is 1

LCM of denominators i.e. for 49,33,54 is 29106.

Thus, GCF of Fractions is 1/29106.Finally, GCF of Fractions for 359/49, 973/33, 221/54 is 1/29106.