GCD of 657, 499, 21, 164 Calculator

Given Input numbers are 657, 499, 21, 164

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 657, 499, 21, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 499, 21, 164 is 1.

Therefore, GCD of numbers 657, 499, 21, 164 is 1

Given Input Data is 657, 499, 21, 164

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 499 is 499

Prime Factorization of 21 is 3 x 7

Prime Factorization of 164 is 2 x 2 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(657, 499) = 327843

GCD(657, 499) = ( 657 x 499 ) / 327843

GCD(657, 499) = 327843 / 327843

GCD(657, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 657, 499, 21, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 311, 53, 798
• GCD of 554, 120, 32, 190
• GCD of 346, 683, 13, 221
• GCD of 891, 655, 77, 800
• GCD of 490, 412, 88, 687

1. What is the GCD of 657, 499, 21, 164?

GCD of 657, 499, 21, 164 is 1

2. Where do I get the detailed procedure to find GCD of 657, 499, 21, 164?

You can find a detailed procedure to find GCD of 657, 499, 21, 164 on our page.

3. How to find GCD of 657, 499, 21, 164 on a calculator?

You can find the GCD of 657, 499, 21, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.