GCD of 654, 582, 673, 361 Calculator

Given Input numbers are 654, 582, 673, 361

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

Divisors of 654

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

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 654, 582, 673, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 582, 673, 361 is 1.

Therefore, GCD of numbers 654, 582, 673, 361 is 1

Given Input Data is 654, 582, 673, 361

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 673 is 673

Prime Factorization of 361 is 19 x 19

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(654, 582) = 63438

GCD(654, 582) = ( 654 x 582 ) / 63438

GCD(654, 582) = 380628 / 63438

GCD(654, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 673

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

LCM(6, 673) = 4038

GCD(6, 673) = ( 6 x 673 ) / 4038

GCD(6, 673) = 4038 / 4038

GCD(6, 673) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 654, 582, 673, 361 is 1

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1. What is the GCD of 654, 582, 673, 361?

GCD of 654, 582, 673, 361 is 1

2. Where do I get the detailed procedure to find GCD of 654, 582, 673, 361?

You can find a detailed procedure to find GCD of 654, 582, 673, 361 on our page.

3. How to find GCD of 654, 582, 673, 361 on a calculator?

You can find the GCD of 654, 582, 673, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.