GCD of 422, 688, 584, 203 Calculator

Given Input numbers are 422, 688, 584, 203

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 422, 688, 584, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 688, 584, 203 is 1.

Therefore, GCD of numbers 422, 688, 584, 203 is 1

Given Input Data is 422, 688, 584, 203

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 203 is 7 x 29

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(422, 688) = 145168

GCD(422, 688) = ( 422 x 688 ) / 145168

GCD(422, 688) = 290336 / 145168

GCD(422, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

GCD of 422, 688, 584, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 598, 120, 960
• GCD of 334, 403, 501, 462
• GCD of 260, 975, 696, 168
• GCD of 175, 721, 518, 864
• GCD of 809, 816, 277, 100

1. What is the GCD of 422, 688, 584, 203?

GCD of 422, 688, 584, 203 is 1

2. Where do I get the detailed procedure to find GCD of 422, 688, 584, 203?

You can find a detailed procedure to find GCD of 422, 688, 584, 203 on our page.

3. How to find GCD of 422, 688, 584, 203 on a calculator?

You can find the GCD of 422, 688, 584, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.