GCD of 600, 722, 53, 500 Calculator

Given Input numbers are 600, 722, 53, 500

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 53

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

1, 53

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

Greatest Common Divisior

We found the divisors of 600, 722, 53, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 722, 53, 500 is 1.

Therefore, GCD of numbers 600, 722, 53, 500 is 1

Given Input Data is 600, 722, 53, 500

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 53 is 53

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

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(600, 722) = 216600

GCD(600, 722) = ( 600 x 722 ) / 216600

GCD(600, 722) = 433200 / 216600

GCD(600, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 600, 722, 53, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 139, 59, 714
• GCD of 799, 571, 65, 442
• GCD of 432, 898, 33, 451
• GCD of 361, 679, 36, 392
• GCD of 839, 653, 88, 193

1. What is the GCD of 600, 722, 53, 500?

GCD of 600, 722, 53, 500 is 1

2. Where do I get the detailed procedure to find GCD of 600, 722, 53, 500?

You can find a detailed procedure to find GCD of 600, 722, 53, 500 on our page.

3. How to find GCD of 600, 722, 53, 500 on a calculator?

You can find the GCD of 600, 722, 53, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.