GCD of 428, 459, 695, 654 Calculator

Given Input numbers are 428, 459, 695, 654

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

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 428, 459, 695, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 459, 695, 654 is 1.

Therefore, GCD of numbers 428, 459, 695, 654 is 1

Given Input Data is 428, 459, 695, 654

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 695 is 5 x 139

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(428, 459) = 196452

GCD(428, 459) = ( 428 x 459 ) / 196452

GCD(428, 459) = 196452 / 196452

GCD(428, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 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 428, 459, 695, 654 is 1

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1. What is the GCD of 428, 459, 695, 654?

GCD of 428, 459, 695, 654 is 1

2. Where do I get the detailed procedure to find GCD of 428, 459, 695, 654?

You can find a detailed procedure to find GCD of 428, 459, 695, 654 on our page.

3. How to find GCD of 428, 459, 695, 654 on a calculator?

You can find the GCD of 428, 459, 695, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.