GCD of 135, 396, 657, 997 Calculator

Given Input numbers are 135, 396, 657, 997

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 657

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

1, 3, 9, 73, 219, 657

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 135, 396, 657, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 396, 657, 997 is 1.

Therefore, GCD of numbers 135, 396, 657, 997 is 1

Given Input Data is 135, 396, 657, 997

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 657 is 3 x 3 x 73

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(135, 396) = 5940

GCD(135, 396) = ( 135 x 396 ) / 5940

GCD(135, 396) = 53460 / 5940

GCD(135, 396) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 657

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

LCM(9, 657) = 657

GCD(9, 657) = ( 9 x 657 ) / 657

GCD(9, 657) = 5913 / 657

GCD(9, 657) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 997

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

LCM(9, 997) = 8973

GCD(9, 997) = ( 9 x 997 ) / 8973

GCD(9, 997) = 8973 / 8973

GCD(9, 997) = 1

GCD of 135, 396, 657, 997 is 1

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1. What is the GCD of 135, 396, 657, 997?

GCD of 135, 396, 657, 997 is 1

2. Where do I get the detailed procedure to find GCD of 135, 396, 657, 997?

You can find a detailed procedure to find GCD of 135, 396, 657, 997 on our page.

3. How to find GCD of 135, 396, 657, 997 on a calculator?

You can find the GCD of 135, 396, 657, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.