GCD of 172, 157, 76, 238 Calculator

Given Input numbers are 172, 157, 76, 238

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 172, 157, 76, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 157, 76, 238 is 1.

Therefore, GCD of numbers 172, 157, 76, 238 is 1

Given Input Data is 172, 157, 76, 238

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 157 is 157

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 238 is 2 x 7 x 17

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(172, 157) = 27004

GCD(172, 157) = ( 172 x 157 ) / 27004

GCD(172, 157) = 27004 / 27004

GCD(172, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 172, 157, 76, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 156, 66, 874
• GCD of 341, 185, 19, 971
• GCD of 185, 134, 59, 750
• GCD of 628, 696, 48, 311
• GCD of 424, 784, 10, 248

1. What is the GCD of 172, 157, 76, 238?

GCD of 172, 157, 76, 238 is 1

2. Where do I get the detailed procedure to find GCD of 172, 157, 76, 238?

You can find a detailed procedure to find GCD of 172, 157, 76, 238 on our page.

3. How to find GCD of 172, 157, 76, 238 on a calculator?

You can find the GCD of 172, 157, 76, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.