GCD of 822, 290, 812, 757 Calculator

Given Input numbers are 822, 290, 812, 757

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 822, 290, 812, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 290, 812, 757 is 1.

Therefore, GCD of numbers 822, 290, 812, 757 is 1

Given Input Data is 822, 290, 812, 757

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 290 is 2 x 5 x 29

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 757 is 757

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, 290) = 119190

GCD(822, 290) = ( 822 x 290 ) / 119190

GCD(822, 290) = 238380 / 119190

GCD(822, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

GCD of 822, 290, 812, 757 is 1

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1. What is the GCD of 822, 290, 812, 757?

GCD of 822, 290, 812, 757 is 1

2. Where do I get the detailed procedure to find GCD of 822, 290, 812, 757?

You can find a detailed procedure to find GCD of 822, 290, 812, 757 on our page.

3. How to find GCD of 822, 290, 812, 757 on a calculator?

You can find the GCD of 822, 290, 812, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.