GCD of 209, 826, 844, 758 Calculator

Given Input numbers are 209, 826, 844, 758

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 209, 826, 844, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 826, 844, 758 is 1.

Therefore, GCD of numbers 209, 826, 844, 758 is 1

Given Input Data is 209, 826, 844, 758

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 758 is 2 x 379

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(209, 826) = 172634

GCD(209, 826) = ( 209 x 826 ) / 172634

GCD(209, 826) = 172634 / 172634

GCD(209, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 209, 826, 844, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 924, 772, 858
• GCD of 332, 107, 249, 252
• GCD of 284, 423, 220, 838
• GCD of 205, 758, 779, 307
• GCD of 461, 954, 286, 132

1. What is the GCD of 209, 826, 844, 758?

GCD of 209, 826, 844, 758 is 1

2. Where do I get the detailed procedure to find GCD of 209, 826, 844, 758?

You can find a detailed procedure to find GCD of 209, 826, 844, 758 on our page.

3. How to find GCD of 209, 826, 844, 758 on a calculator?

You can find the GCD of 209, 826, 844, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.