GCD of 402, 972, 581, 506 Calculator

Given Input numbers are 402, 972, 581, 506

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 402, 972, 581, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 972, 581, 506 is 1.

Therefore, GCD of numbers 402, 972, 581, 506 is 1

Given Input Data is 402, 972, 581, 506

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 581 is 7 x 83

Prime Factorization of 506 is 2 x 11 x 23

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(402, 972) = 65124

GCD(402, 972) = ( 402 x 972 ) / 65124

GCD(402, 972) = 390744 / 65124

GCD(402, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 581

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

LCM(6, 581) = 3486

GCD(6, 581) = ( 6 x 581 ) / 3486

GCD(6, 581) = 3486 / 3486

GCD(6, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 402, 972, 581, 506 is 1

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• GCD of 613, 232, 786, 949
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• GCD of 831, 323, 585, 514

1. What is the GCD of 402, 972, 581, 506?

GCD of 402, 972, 581, 506 is 1

2. Where do I get the detailed procedure to find GCD of 402, 972, 581, 506?

You can find a detailed procedure to find GCD of 402, 972, 581, 506 on our page.

3. How to find GCD of 402, 972, 581, 506 on a calculator?

You can find the GCD of 402, 972, 581, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.