GCD of 759, 253, 34, 822 Calculator

Given Input numbers are 759, 253, 34, 822

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 759, 253, 34, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 253, 34, 822 is 1.

Therefore, GCD of numbers 759, 253, 34, 822 is 1

Given Input Data is 759, 253, 34, 822

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 253 is 11 x 23

Prime Factorization of 34 is 2 x 17

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(759, 253) = 759

GCD(759, 253) = ( 759 x 253 ) / 759

GCD(759, 253) = 192027 / 759

GCD(759, 253) = 253

Step2:

Here we consider the GCD from the above i.e. 253 as first number and the next as 34

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

LCM(253, 34) = 8602

GCD(253, 34) = ( 253 x 34 ) / 8602

GCD(253, 34) = 8602 / 8602

GCD(253, 34) = 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 759, 253, 34, 822 is 1

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1. What is the GCD of 759, 253, 34, 822?

GCD of 759, 253, 34, 822 is 1

2. Where do I get the detailed procedure to find GCD of 759, 253, 34, 822?

You can find a detailed procedure to find GCD of 759, 253, 34, 822 on our page.

3. How to find GCD of 759, 253, 34, 822 on a calculator?

You can find the GCD of 759, 253, 34, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.