GCD of 32, 814, 103, 629 Calculator

Given Input numbers are 32, 814, 103, 629

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 32, 814, 103, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 814, 103, 629 is 1.

Therefore, GCD of numbers 32, 814, 103, 629 is 1

Given Input Data is 32, 814, 103, 629

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 814 is 2 x 11 x 37

Prime Factorization of 103 is 103

Prime Factorization of 629 is 17 x 37

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, 814) = 13024

GCD(32, 814) = ( 32 x 814 ) / 13024

GCD(32, 814) = 26048 / 13024

GCD(32, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 32, 814, 103, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 210, 475, 297
• GCD of 19, 898, 824, 728
• GCD of 82, 638, 731, 419
• GCD of 71, 759, 623, 216
• GCD of 15, 566, 160, 205

1. What is the GCD of 32, 814, 103, 629?

GCD of 32, 814, 103, 629 is 1

2. Where do I get the detailed procedure to find GCD of 32, 814, 103, 629?

You can find a detailed procedure to find GCD of 32, 814, 103, 629 on our page.

3. How to find GCD of 32, 814, 103, 629 on a calculator?

You can find the GCD of 32, 814, 103, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.