GCD of 890, 201, 558, 200 Calculator

Given Input numbers are 890, 201, 558, 200

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 890, 201, 558, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 201, 558, 200 is 1.

Therefore, GCD of numbers 890, 201, 558, 200 is 1

Given Input Data is 890, 201, 558, 200

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 201 is 3 x 67

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(890, 201) = 178890

GCD(890, 201) = ( 890 x 201 ) / 178890

GCD(890, 201) = 178890 / 178890

GCD(890, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 890, 201, 558, 200 is 1

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1. What is the GCD of 890, 201, 558, 200?

GCD of 890, 201, 558, 200 is 1

2. Where do I get the detailed procedure to find GCD of 890, 201, 558, 200?

You can find a detailed procedure to find GCD of 890, 201, 558, 200 on our page.

3. How to find GCD of 890, 201, 558, 200 on a calculator?

You can find the GCD of 890, 201, 558, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.