GCD of 564, 842, 987, 205 Calculator

Given Input numbers are 564, 842, 987, 205

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

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 564, 842, 987, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 842, 987, 205 is 1.

Therefore, GCD of numbers 564, 842, 987, 205 is 1

Given Input Data is 564, 842, 987, 205

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

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 205 is 5 x 41

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(564, 842) = 237444

GCD(564, 842) = ( 564 x 842 ) / 237444

GCD(564, 842) = 474888 / 237444

GCD(564, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 564, 842, 987, 205 is 1

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1. What is the GCD of 564, 842, 987, 205?

GCD of 564, 842, 987, 205 is 1

2. Where do I get the detailed procedure to find GCD of 564, 842, 987, 205?

You can find a detailed procedure to find GCD of 564, 842, 987, 205 on our page.

3. How to find GCD of 564, 842, 987, 205 on a calculator?

You can find the GCD of 564, 842, 987, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.