GCD of 257, 180, 32, 158 Calculator

Given Input numbers are 257, 180, 32, 158

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 257, 180, 32, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 180, 32, 158 is 1.

Therefore, GCD of numbers 257, 180, 32, 158 is 1

Given Input Data is 257, 180, 32, 158

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

Prime Factorization of 257 is 257

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 158 is 2 x 79

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(257, 180) = 46260

GCD(257, 180) = ( 257 x 180 ) / 46260

GCD(257, 180) = 46260 / 46260

GCD(257, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 257, 180, 32, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 714, 26, 498
• GCD of 194, 934, 98, 511
• GCD of 744, 800, 78, 100
• GCD of 387, 364, 85, 391
• GCD of 298, 150, 52, 406

1. What is the GCD of 257, 180, 32, 158?

GCD of 257, 180, 32, 158 is 1

2. Where do I get the detailed procedure to find GCD of 257, 180, 32, 158?

You can find a detailed procedure to find GCD of 257, 180, 32, 158 on our page.

3. How to find GCD of 257, 180, 32, 158 on a calculator?

You can find the GCD of 257, 180, 32, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.