GCD of 892, 564, 396, 855 Calculator

Given Input numbers are 892, 564, 396, 855

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

Greatest Common Divisior

We found the divisors of 892, 564, 396, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 564, 396, 855 is 1.

Therefore, GCD of numbers 892, 564, 396, 855 is 1

Given Input Data is 892, 564, 396, 855

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

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(892, 564) = 125772

GCD(892, 564) = ( 892 x 564 ) / 125772

GCD(892, 564) = 503088 / 125772

GCD(892, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 396

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

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

GCD(4, 396) = 1584 / 396

GCD(4, 396) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 855

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

LCM(4, 855) = 3420

GCD(4, 855) = ( 4 x 855 ) / 3420

GCD(4, 855) = 3420 / 3420

GCD(4, 855) = 1

GCD of 892, 564, 396, 855 is 1

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1. What is the GCD of 892, 564, 396, 855?

GCD of 892, 564, 396, 855 is 1

2. Where do I get the detailed procedure to find GCD of 892, 564, 396, 855?

You can find a detailed procedure to find GCD of 892, 564, 396, 855 on our page.

3. How to find GCD of 892, 564, 396, 855 on a calculator?

You can find the GCD of 892, 564, 396, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.