GCD of 561, 172, 54, 232 Calculator

Given Input numbers are 561, 172, 54, 232

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 172

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

1, 2, 4, 43, 86, 172

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 561, 172, 54, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 172, 54, 232 is 1.

Therefore, GCD of numbers 561, 172, 54, 232 is 1

Given Input Data is 561, 172, 54, 232

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(561, 172) = 96492

GCD(561, 172) = ( 561 x 172 ) / 96492

GCD(561, 172) = 96492 / 96492

GCD(561, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 561, 172, 54, 232 is 1

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• GCD of 557, 747, 52, 189
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1. What is the GCD of 561, 172, 54, 232?

GCD of 561, 172, 54, 232 is 1

2. Where do I get the detailed procedure to find GCD of 561, 172, 54, 232?

You can find a detailed procedure to find GCD of 561, 172, 54, 232 on our page.

3. How to find GCD of 561, 172, 54, 232 on a calculator?

You can find the GCD of 561, 172, 54, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.