GCD of 59, 364, 435, 502 Calculator

Given Input numbers are 59, 364, 435, 502

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 59, 364, 435, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 364, 435, 502 is 1.

Therefore, GCD of numbers 59, 364, 435, 502 is 1

Given Input Data is 59, 364, 435, 502

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

Prime Factorization of 59 is 59

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 502 is 2 x 251

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(59, 364) = 21476

GCD(59, 364) = ( 59 x 364 ) / 21476

GCD(59, 364) = 21476 / 21476

GCD(59, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 59, 364, 435, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 458, 721, 687
• GCD of 23, 442, 776, 546
• GCD of 90, 316, 784, 296
• GCD of 42, 881, 460, 987
• GCD of 20, 179, 127, 973

1. What is the GCD of 59, 364, 435, 502?

GCD of 59, 364, 435, 502 is 1

2. Where do I get the detailed procedure to find GCD of 59, 364, 435, 502?

You can find a detailed procedure to find GCD of 59, 364, 435, 502 on our page.

3. How to find GCD of 59, 364, 435, 502 on a calculator?

You can find the GCD of 59, 364, 435, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.