GCD of 855, 119, 826, 561 Calculator

Given Input numbers are 855, 119, 826, 561

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 855, 119, 826, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 119, 826, 561 is 1.

Therefore, GCD of numbers 855, 119, 826, 561 is 1

Given Input Data is 855, 119, 826, 561

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 119 is 7 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 561 is 3 x 11 x 17

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(855, 119) = 101745

GCD(855, 119) = ( 855 x 119 ) / 101745

GCD(855, 119) = 101745 / 101745

GCD(855, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 855, 119, 826, 561 is 1

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1. What is the GCD of 855, 119, 826, 561?

GCD of 855, 119, 826, 561 is 1

2. Where do I get the detailed procedure to find GCD of 855, 119, 826, 561?

You can find a detailed procedure to find GCD of 855, 119, 826, 561 on our page.

3. How to find GCD of 855, 119, 826, 561 on a calculator?

You can find the GCD of 855, 119, 826, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.