GCD of 34, 822, 250, 821 Calculator

Given Input numbers are 34, 822, 250, 821

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

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 34, 822, 250, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 822, 250, 821 is 1.

Therefore, GCD of numbers 34, 822, 250, 821 is 1

Given Input Data is 34, 822, 250, 821

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 821 is 821

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(34, 822) = 13974

GCD(34, 822) = ( 34 x 822 ) / 13974

GCD(34, 822) = 27948 / 13974

GCD(34, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 34, 822, 250, 821 is 1

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1. What is the GCD of 34, 822, 250, 821?

GCD of 34, 822, 250, 821 is 1

2. Where do I get the detailed procedure to find GCD of 34, 822, 250, 821?

You can find a detailed procedure to find GCD of 34, 822, 250, 821 on our page.

3. How to find GCD of 34, 822, 250, 821 on a calculator?

You can find the GCD of 34, 822, 250, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.