GCD of 367, 412, 924, 654 Calculator

Given Input numbers are 367, 412, 924, 654

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 367, 412, 924, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 412, 924, 654 is 1.

Therefore, GCD of numbers 367, 412, 924, 654 is 1

Given Input Data is 367, 412, 924, 654

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

Prime Factorization of 367 is 367

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 654 is 2 x 3 x 109

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(367, 412) = 151204

GCD(367, 412) = ( 367 x 412 ) / 151204

GCD(367, 412) = 151204 / 151204

GCD(367, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 367, 412, 924, 654 is 1

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1. What is the GCD of 367, 412, 924, 654?

GCD of 367, 412, 924, 654 is 1

2. Where do I get the detailed procedure to find GCD of 367, 412, 924, 654?

You can find a detailed procedure to find GCD of 367, 412, 924, 654 on our page.

3. How to find GCD of 367, 412, 924, 654 on a calculator?

You can find the GCD of 367, 412, 924, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.