GCD of 906, 732, 933 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 906, 732, 933 i.e. 3 largest integer that divides all the numbers equally.

GCD of 906, 732, 933 is 3

GCD(906, 732, 933) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 906, 732, 933 is 3

GCD(906, 732, 933) = 3

GCD of 906,732,933 Calculator

GCDof 906,732,933 is 3

Given Input numbers are 906, 732, 933

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 906, 732, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 732, 933 is 3.

Therefore, GCD of numbers 906, 732, 933 is 3

Finding GCD of 906, 732, 933 using Prime Factorization

Given Input Data is 906, 732, 933

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 933 is 3 x 311

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 906, 732, 933 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(906, 732) = 110532

GCD(906, 732) = ( 906 x 732 ) / 110532

GCD(906, 732) = 663192 / 110532

GCD(906, 732) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 933

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 933) = 1866

GCD(6, 933) = ( 6 x 933 ) / 1866

GCD(6, 933) = 5598 / 1866

GCD(6, 933) = 3

GCD of 906, 732, 933 is 3

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FAQs on GCD of numbers 906, 732, 933

1. What is the GCD of 906, 732, 933?

GCD of 906, 732, 933 is 3

2. Where do I get the detailed procedure to find GCD of 906, 732, 933?

You can find a detailed procedure to find GCD of 906, 732, 933 on our page.

3. How to find GCD of 906, 732, 933 on a calculator?

You can find the GCD of 906, 732, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.