GCD of 250, 816, 49, 829 Calculator

Given Input numbers are 250, 816, 49, 829

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

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 250, 816, 49, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 816, 49, 829 is 1.

Therefore, GCD of numbers 250, 816, 49, 829 is 1

Given Input Data is 250, 816, 49, 829

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

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 829 is 829

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(250, 816) = 102000

GCD(250, 816) = ( 250 x 816 ) / 102000

GCD(250, 816) = 204000 / 102000

GCD(250, 816) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 250, 816, 49, 829 is 1

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• GCD of 167, 527, 54, 631
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1. What is the GCD of 250, 816, 49, 829?

GCD of 250, 816, 49, 829 is 1

2. Where do I get the detailed procedure to find GCD of 250, 816, 49, 829?

You can find a detailed procedure to find GCD of 250, 816, 49, 829 on our page.

3. How to find GCD of 250, 816, 49, 829 on a calculator?

You can find the GCD of 250, 816, 49, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.