GCD of 657, 344, 81, 916 Calculator

Given Input numbers are 657, 344, 81, 916

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 657, 344, 81, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 344, 81, 916 is 1.

Therefore, GCD of numbers 657, 344, 81, 916 is 1

Given Input Data is 657, 344, 81, 916

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 916 is 2 x 2 x 229

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, 344) = 226008

GCD(657, 344) = ( 657 x 344 ) / 226008

GCD(657, 344) = 226008 / 226008

GCD(657, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 657, 344, 81, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 292, 93, 569
• GCD of 229, 687, 79, 113
• GCD of 491, 490, 45, 989
• GCD of 393, 105, 13, 691
• GCD of 683, 712, 11, 496

1. What is the GCD of 657, 344, 81, 916?

GCD of 657, 344, 81, 916 is 1

2. Where do I get the detailed procedure to find GCD of 657, 344, 81, 916?

You can find a detailed procedure to find GCD of 657, 344, 81, 916 on our page.

3. How to find GCD of 657, 344, 81, 916 on a calculator?

You can find the GCD of 657, 344, 81, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.