GCD of 500, 564, 53, 410 Calculator

Given Input numbers are 500, 564, 53, 410

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 500, 564, 53, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 564, 53, 410 is 1.

Therefore, GCD of numbers 500, 564, 53, 410 is 1

Given Input Data is 500, 564, 53, 410

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 53 is 53

Prime Factorization of 410 is 2 x 5 x 41

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(500, 564) = 70500

GCD(500, 564) = ( 500 x 564 ) / 70500

GCD(500, 564) = 282000 / 70500

GCD(500, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 500, 564, 53, 410 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 274, 18, 565
• GCD of 673, 418, 88, 195
• GCD of 326, 383, 95, 195
• GCD of 563, 760, 52, 711
• GCD of 790, 339, 88, 543

1. What is the GCD of 500, 564, 53, 410?

GCD of 500, 564, 53, 410 is 1

2. Where do I get the detailed procedure to find GCD of 500, 564, 53, 410?

You can find a detailed procedure to find GCD of 500, 564, 53, 410 on our page.

3. How to find GCD of 500, 564, 53, 410 on a calculator?

You can find the GCD of 500, 564, 53, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.