GCD of 32, 649, 505, 412 Calculator

Given Input numbers are 32, 649, 505, 412

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 32, 649, 505, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 649, 505, 412 is 1.

Therefore, GCD of numbers 32, 649, 505, 412 is 1

Given Input Data is 32, 649, 505, 412

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 649 is 11 x 59

Prime Factorization of 505 is 5 x 101

Prime Factorization of 412 is 2 x 2 x 103

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(32, 649) = 20768

GCD(32, 649) = ( 32 x 649 ) / 20768

GCD(32, 649) = 20768 / 20768

GCD(32, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 32, 649, 505, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 282, 268, 337
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• GCD of 93, 943, 225, 483
• GCD of 41, 818, 641, 484
• GCD of 57, 387, 728, 243

1. What is the GCD of 32, 649, 505, 412?

GCD of 32, 649, 505, 412 is 1

2. Where do I get the detailed procedure to find GCD of 32, 649, 505, 412?

You can find a detailed procedure to find GCD of 32, 649, 505, 412 on our page.

3. How to find GCD of 32, 649, 505, 412 on a calculator?

You can find the GCD of 32, 649, 505, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.