GCD of 135, 997, 57, 161 Calculator

Given Input numbers are 135, 997, 57, 161

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 997

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

1, 997

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 135, 997, 57, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 997, 57, 161 is 1.

Therefore, GCD of numbers 135, 997, 57, 161 is 1

Given Input Data is 135, 997, 57, 161

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 997 is 997

Prime Factorization of 57 is 3 x 19

Prime Factorization of 161 is 7 x 23

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, 997) = 134595

GCD(135, 997) = ( 135 x 997 ) / 134595

GCD(135, 997) = 134595 / 134595

GCD(135, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 135, 997, 57, 161 is 1

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1. What is the GCD of 135, 997, 57, 161?

GCD of 135, 997, 57, 161 is 1

2. Where do I get the detailed procedure to find GCD of 135, 997, 57, 161?

You can find a detailed procedure to find GCD of 135, 997, 57, 161 on our page.

3. How to find GCD of 135, 997, 57, 161 on a calculator?

You can find the GCD of 135, 997, 57, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.