GCD of 54, 256, 197, 142 Calculator

Given Input numbers are 54, 256, 197, 142

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 54, 256, 197, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 256, 197, 142 is 1.

Therefore, GCD of numbers 54, 256, 197, 142 is 1

Given Input Data is 54, 256, 197, 142

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 197 is 197

Prime Factorization of 142 is 2 x 71

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(54, 256) = 6912

GCD(54, 256) = ( 54 x 256 ) / 6912

GCD(54, 256) = 13824 / 6912

GCD(54, 256) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 54, 256, 197, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 249, 206, 502
• GCD of 32, 345, 406, 348
• GCD of 78, 364, 934, 789
• GCD of 46, 226, 648, 720
• GCD of 50, 322, 218, 417

1. What is the GCD of 54, 256, 197, 142?

GCD of 54, 256, 197, 142 is 1

2. Where do I get the detailed procedure to find GCD of 54, 256, 197, 142?

You can find a detailed procedure to find GCD of 54, 256, 197, 142 on our page.

3. How to find GCD of 54, 256, 197, 142 on a calculator?

You can find the GCD of 54, 256, 197, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.