GCD of 466, 654, 591, 606 Calculator

Given Input numbers are 466, 654, 591, 606

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 466, 654, 591, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 654, 591, 606 is 1.

Therefore, GCD of numbers 466, 654, 591, 606 is 1

Given Input Data is 466, 654, 591, 606

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 591 is 3 x 197

Prime Factorization of 606 is 2 x 3 x 101

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(466, 654) = 152382

GCD(466, 654) = ( 466 x 654 ) / 152382

GCD(466, 654) = 304764 / 152382

GCD(466, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

GCD of 466, 654, 591, 606 is 1

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1. What is the GCD of 466, 654, 591, 606?

GCD of 466, 654, 591, 606 is 1

2. Where do I get the detailed procedure to find GCD of 466, 654, 591, 606?

You can find a detailed procedure to find GCD of 466, 654, 591, 606 on our page.

3. How to find GCD of 466, 654, 591, 606 on a calculator?

You can find the GCD of 466, 654, 591, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.