GCD of 200, 164, 91, 442 Calculator

Given Input numbers are 200, 164, 91, 442

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

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 200, 164, 91, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 164, 91, 442 is 1.

Therefore, GCD of numbers 200, 164, 91, 442 is 1

Given Input Data is 200, 164, 91, 442

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

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 91 is 7 x 13

Prime Factorization of 442 is 2 x 13 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(200, 164) = 8200

GCD(200, 164) = ( 200 x 164 ) / 8200

GCD(200, 164) = 32800 / 8200

GCD(200, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 91

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

LCM(4, 91) = 364

GCD(4, 91) = ( 4 x 91 ) / 364

GCD(4, 91) = 364 / 364

GCD(4, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 200, 164, 91, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 462, 86, 570
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• GCD of 796, 158, 74, 486
• GCD of 788, 874, 35, 236
• GCD of 538, 509, 76, 754

1. What is the GCD of 200, 164, 91, 442?

GCD of 200, 164, 91, 442 is 1

2. Where do I get the detailed procedure to find GCD of 200, 164, 91, 442?

You can find a detailed procedure to find GCD of 200, 164, 91, 442 on our page.

3. How to find GCD of 200, 164, 91, 442 on a calculator?

You can find the GCD of 200, 164, 91, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.