GCD of 657, 729, 334, 997 Calculator

Given Input numbers are 657, 729, 334, 997

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 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 657, 729, 334, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 729, 334, 997 is 1.

Therefore, GCD of numbers 657, 729, 334, 997 is 1

Given Input Data is 657, 729, 334, 997

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 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 334 is 2 x 167

Prime Factorization of 997 is 997

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, 729) = 53217

GCD(657, 729) = ( 657 x 729 ) / 53217

GCD(657, 729) = 478953 / 53217

GCD(657, 729) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 334

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

LCM(9, 334) = 3006

GCD(9, 334) = ( 9 x 334 ) / 3006

GCD(9, 334) = 3006 / 3006

GCD(9, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 657, 729, 334, 997 is 1

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1. What is the GCD of 657, 729, 334, 997?

GCD of 657, 729, 334, 997 is 1

2. Where do I get the detailed procedure to find GCD of 657, 729, 334, 997?

You can find a detailed procedure to find GCD of 657, 729, 334, 997 on our page.

3. How to find GCD of 657, 729, 334, 997 on a calculator?

You can find the GCD of 657, 729, 334, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.