GCD of 164, 998, 33, 654 Calculator

Given Input numbers are 164, 998, 33, 654

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 164, 998, 33, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 998, 33, 654 is 1.

Therefore, GCD of numbers 164, 998, 33, 654 is 1

Given Input Data is 164, 998, 33, 654

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 998 is 2 x 499

Prime Factorization of 33 is 3 x 11

Prime Factorization of 654 is 2 x 3 x 109

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(164, 998) = 81836

GCD(164, 998) = ( 164 x 998 ) / 81836

GCD(164, 998) = 163672 / 81836

GCD(164, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 164, 998, 33, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 600, 49, 820
• GCD of 865, 436, 83, 291
• GCD of 261, 841, 23, 659
• GCD of 537, 246, 43, 270
• GCD of 326, 604, 23, 325

1. What is the GCD of 164, 998, 33, 654?

GCD of 164, 998, 33, 654 is 1

2. Where do I get the detailed procedure to find GCD of 164, 998, 33, 654?

You can find a detailed procedure to find GCD of 164, 998, 33, 654 on our page.

3. How to find GCD of 164, 998, 33, 654 on a calculator?

You can find the GCD of 164, 998, 33, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.