Greatest Common Factor of 350/33, 575/1473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/33, 575/1473

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 350/33,575/1473

Given fractions are 350/33,575/1473

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 350,575

Greatest Common Factor of Numerators i.e. GCF of 350,575 is 25 .

LCM of Denominators means LCM of 33,1473 as per the given fractions.

LCM of 33,1473 is 16203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,575

GCF of Fractions 350/33,575/1473 is 25/16203

5 350, 575
5 70, 115
14, 23

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 350,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,575 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 350,575 . The biggest common factor number is the GCF number.
So the greatest common factor 350,575 is 25.

Lets's calculate LCM of 33,1473

3 33, 1473
11, 491

∴ So the LCM of the given numbers is 3 x 11 x 491 = 16203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/16203

Therefore, the GCF of Fractions 350/33,575/1473 is 25/16203

Least Common Multiple of 33,1473 with GCF Formula

Least Common Multiple of 33,1473 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 33,1473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,1473) = 3

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

GCF(33,1473) x common factors =3 x 1 = 3

LCM(33,1473) = ( 33 × 1473 ) / 3

LCM(33,1473) = 48609 / 3

LCM(33,1473) = 16203


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 350/33, 575/1473

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 350/33, 575/1473?

Answer: GCF of Numerators as per given numbers 350/33, 575/1473 is

GCF of Numerators i.e. for 350,575 is 25

LCM of denominators i.e. for 33,1473 is 16203.

Thus, GCF of Fractions is 25/16203.Finally, GCF of Fractions for 350/33, 575/1473 is 25/16203.