GCD of 567, 354, 56, 171 Calculator

Given Input numbers are 567, 354, 56, 171

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 354

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

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 567, 354, 56, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 354, 56, 171 is 1.

Therefore, GCD of numbers 567, 354, 56, 171 is 1

Given Input Data is 567, 354, 56, 171

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 171 is 3 x 3 x 19

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(567, 354) = 66906

GCD(567, 354) = ( 567 x 354 ) / 66906

GCD(567, 354) = 200718 / 66906

GCD(567, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 567, 354, 56, 171 is 1

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• GCD of 290, 573, 46, 240
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1. What is the GCD of 567, 354, 56, 171?

GCD of 567, 354, 56, 171 is 1

2. Where do I get the detailed procedure to find GCD of 567, 354, 56, 171?

You can find a detailed procedure to find GCD of 567, 354, 56, 171 on our page.

3. How to find GCD of 567, 354, 56, 171 on a calculator?

You can find the GCD of 567, 354, 56, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.