GCD of 456, 150, 81, 590 Calculator

Given Input numbers are 456, 150, 81, 590

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 456, 150, 81, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 150, 81, 590 is 1.

Therefore, GCD of numbers 456, 150, 81, 590 is 1

Given Input Data is 456, 150, 81, 590

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 590 is 2 x 5 x 59

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(456, 150) = 11400

GCD(456, 150) = ( 456 x 150 ) / 11400

GCD(456, 150) = 68400 / 11400

GCD(456, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 590

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

LCM(3, 590) = 1770

GCD(3, 590) = ( 3 x 590 ) / 1770

GCD(3, 590) = 1770 / 1770

GCD(3, 590) = 1

GCD of 456, 150, 81, 590 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 927, 23, 694
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• GCD of 991, 778, 25, 547
• GCD of 527, 677, 64, 560

1. What is the GCD of 456, 150, 81, 590?

GCD of 456, 150, 81, 590 is 1

2. Where do I get the detailed procedure to find GCD of 456, 150, 81, 590?

You can find a detailed procedure to find GCD of 456, 150, 81, 590 on our page.

3. How to find GCD of 456, 150, 81, 590 on a calculator?

You can find the GCD of 456, 150, 81, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.