GCD of 32, 470, 559, 437 Calculator

Given Input numbers are 32, 470, 559, 437

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 32, 470, 559, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 470, 559, 437 is 1.

Therefore, GCD of numbers 32, 470, 559, 437 is 1

Given Input Data is 32, 470, 559, 437

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 559 is 13 x 43

Prime Factorization of 437 is 19 x 23

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(32, 470) = 7520

GCD(32, 470) = ( 32 x 470 ) / 7520

GCD(32, 470) = 15040 / 7520

GCD(32, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 32, 470, 559, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 185, 447, 209
• GCD of 22, 802, 743, 849
• GCD of 65, 672, 556, 239
• GCD of 83, 549, 408, 100
• GCD of 58, 534, 729, 248

1. What is the GCD of 32, 470, 559, 437?

GCD of 32, 470, 559, 437 is 1

2. Where do I get the detailed procedure to find GCD of 32, 470, 559, 437?

You can find a detailed procedure to find GCD of 32, 470, 559, 437 on our page.

3. How to find GCD of 32, 470, 559, 437 on a calculator?

You can find the GCD of 32, 470, 559, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.