GCD of 879, 355, 821, 199 Calculator

Given Input numbers are 879, 355, 821, 199

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 821

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

1, 821

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 879, 355, 821, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 355, 821, 199 is 1.

Therefore, GCD of numbers 879, 355, 821, 199 is 1

Given Input Data is 879, 355, 821, 199

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 355 is 5 x 71

Prime Factorization of 821 is 821

Prime Factorization of 199 is 199

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(879, 355) = 312045

GCD(879, 355) = ( 879 x 355 ) / 312045

GCD(879, 355) = 312045 / 312045

GCD(879, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 879, 355, 821, 199 is 1

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1. What is the GCD of 879, 355, 821, 199?

GCD of 879, 355, 821, 199 is 1

2. Where do I get the detailed procedure to find GCD of 879, 355, 821, 199?

You can find a detailed procedure to find GCD of 879, 355, 821, 199 on our page.

3. How to find GCD of 879, 355, 821, 199 on a calculator?

You can find the GCD of 879, 355, 821, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.