GCD of 767, 475, 492, 822 Calculator

Given Input numbers are 767, 475, 492, 822

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 767, 475, 492, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 475, 492, 822 is 1.

Therefore, GCD of numbers 767, 475, 492, 822 is 1

Given Input Data is 767, 475, 492, 822

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 822 is 2 x 3 x 137

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(767, 475) = 364325

GCD(767, 475) = ( 767 x 475 ) / 364325

GCD(767, 475) = 364325 / 364325

GCD(767, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 767, 475, 492, 822 is 1

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1. What is the GCD of 767, 475, 492, 822?

GCD of 767, 475, 492, 822 is 1

2. Where do I get the detailed procedure to find GCD of 767, 475, 492, 822?

You can find a detailed procedure to find GCD of 767, 475, 492, 822 on our page.

3. How to find GCD of 767, 475, 492, 822 on a calculator?

You can find the GCD of 767, 475, 492, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.