GCD of 822, 720, 40, 667 Calculator

Given Input numbers are 822, 720, 40, 667

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

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 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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 822, 720, 40, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 720, 40, 667 is 1.

Therefore, GCD of numbers 822, 720, 40, 667 is 1

Given Input Data is 822, 720, 40, 667

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

Prime Factorization of 822 is 2 x 3 x 137

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 667 is 23 x 29

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(822, 720) = 98640

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

GCD(822, 720) = 591840 / 98640

GCD(822, 720) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 40

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

LCM(6, 40) = 120

GCD(6, 40) = ( 6 x 40 ) / 120

GCD(6, 40) = 240 / 120

GCD(6, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

GCD of 822, 720, 40, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 160, 55, 887
• GCD of 149, 552, 18, 894
• GCD of 772, 953, 88, 817
• GCD of 365, 122, 74, 483
• GCD of 819, 116, 67, 756

1. What is the GCD of 822, 720, 40, 667?

GCD of 822, 720, 40, 667 is 1

2. Where do I get the detailed procedure to find GCD of 822, 720, 40, 667?

You can find a detailed procedure to find GCD of 822, 720, 40, 667 on our page.

3. How to find GCD of 822, 720, 40, 667 on a calculator?

You can find the GCD of 822, 720, 40, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.