GCD of 135, 353, 85, 159 Calculator

Given Input numbers are 135, 353, 85, 159

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 135, 353, 85, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 353, 85, 159 is 1.

Therefore, GCD of numbers 135, 353, 85, 159 is 1

Given Input Data is 135, 353, 85, 159

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 353 is 353

Prime Factorization of 85 is 5 x 17

Prime Factorization of 159 is 3 x 53

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, 353) = 47655

GCD(135, 353) = ( 135 x 353 ) / 47655

GCD(135, 353) = 47655 / 47655

GCD(135, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 135, 353, 85, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 233, 32, 671
• GCD of 644, 126, 30, 385
• GCD of 132, 780, 17, 254
• GCD of 728, 711, 36, 989
• GCD of 187, 656, 39, 382

1. What is the GCD of 135, 353, 85, 159?

GCD of 135, 353, 85, 159 is 1

2. Where do I get the detailed procedure to find GCD of 135, 353, 85, 159?

You can find a detailed procedure to find GCD of 135, 353, 85, 159 on our page.

3. How to find GCD of 135, 353, 85, 159 on a calculator?

You can find the GCD of 135, 353, 85, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.