GCD of 466, 738, 572 Calculator

Given Input numbers are 466, 738, 572

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 466, 738, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 738, 572 is 2.

Therefore, GCD of numbers 466, 738, 572 is 2

Given Input Data is 466, 738, 572

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 572 is 2 x 2 x 11 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(466, 738) = 171954

GCD(466, 738) = ( 466 x 738 ) / 171954

GCD(466, 738) = 343908 / 171954

GCD(466, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 466, 738, 572 is 2

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1. What is the GCD of 466, 738, 572?

GCD of 466, 738, 572 is 2

2. Where do I get the detailed procedure to find GCD of 466, 738, 572?

You can find a detailed procedure to find GCD of 466, 738, 572 on our page.

3. How to find GCD of 466, 738, 572 on a calculator?

You can find the GCD of 466, 738, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.