GCD of 181, 456, 53, 354 Calculator

Given Input numbers are 181, 456, 53, 354

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

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 181, 456, 53, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 181, 456, 53, 354 is 1.

Therefore, GCD of numbers 181, 456, 53, 354 is 1

Given Input Data is 181, 456, 53, 354

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

Prime Factorization of 181 is 181

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 53 is 53

Prime Factorization of 354 is 2 x 3 x 59

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(181, 456) = 82536

GCD(181, 456) = ( 181 x 456 ) / 82536

GCD(181, 456) = 82536 / 82536

GCD(181, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 181, 456, 53, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 323, 18, 300
• GCD of 392, 348, 79, 784
• GCD of 506, 809, 57, 385
• GCD of 139, 762, 45, 443
• GCD of 242, 519, 75, 104

1. What is the GCD of 181, 456, 53, 354?

GCD of 181, 456, 53, 354 is 1

2. Where do I get the detailed procedure to find GCD of 181, 456, 53, 354?

You can find a detailed procedure to find GCD of 181, 456, 53, 354 on our page.

3. How to find GCD of 181, 456, 53, 354 on a calculator?

You can find the GCD of 181, 456, 53, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.