GCD of 720, 822, 200, 623 Calculator

Given Input numbers are 720, 822, 200, 623

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 720, 822, 200, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 822, 200, 623 is 1.

Therefore, GCD of numbers 720, 822, 200, 623 is 1

Given Input Data is 720, 822, 200, 623

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 623 is 7 x 89

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(720, 822) = 98640

GCD(720, 822) = ( 720 x 822 ) / 98640

GCD(720, 822) = 591840 / 98640

GCD(720, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 200

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

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

GCD(6, 200) = 1200 / 600

GCD(6, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

GCD of 720, 822, 200, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 430, 902, 802
• GCD of 444, 921, 707, 799
• GCD of 977, 209, 786, 443
• GCD of 465, 438, 719, 867
• GCD of 300, 884, 294, 524

1. What is the GCD of 720, 822, 200, 623?

GCD of 720, 822, 200, 623 is 1

2. Where do I get the detailed procedure to find GCD of 720, 822, 200, 623?

You can find a detailed procedure to find GCD of 720, 822, 200, 623 on our page.

3. How to find GCD of 720, 822, 200, 623 on a calculator?

You can find the GCD of 720, 822, 200, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.