GCD of 473, 450, 42, 564 Calculator

Given Input numbers are 473, 450, 42, 564

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 473, 450, 42, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 450, 42, 564 is 1.

Therefore, GCD of numbers 473, 450, 42, 564 is 1

Given Input Data is 473, 450, 42, 564

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(473, 450) = 212850

GCD(473, 450) = ( 473 x 450 ) / 212850

GCD(473, 450) = 212850 / 212850

GCD(473, 450) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 473, 450, 42, 564 is 1

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• GCD of 753, 398, 34, 749
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1. What is the GCD of 473, 450, 42, 564?

GCD of 473, 450, 42, 564 is 1

2. Where do I get the detailed procedure to find GCD of 473, 450, 42, 564?

You can find a detailed procedure to find GCD of 473, 450, 42, 564 on our page.

3. How to find GCD of 473, 450, 42, 564 on a calculator?

You can find the GCD of 473, 450, 42, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.