GCD of 56, 721, 387, 171 Calculator

Given Input numbers are 56, 721, 387, 171

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

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 56, 721, 387, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 721, 387, 171 is 1.

Therefore, GCD of numbers 56, 721, 387, 171 is 1

Given Input Data is 56, 721, 387, 171

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

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 387 is 3 x 3 x 43

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(56, 721) = 5768

GCD(56, 721) = ( 56 x 721 ) / 5768

GCD(56, 721) = 40376 / 5768

GCD(56, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 387

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

LCM(7, 387) = 2709

GCD(7, 387) = ( 7 x 387 ) / 2709

GCD(7, 387) = 2709 / 2709

GCD(7, 387) = 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 56, 721, 387, 171 is 1

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• GCD of 59, 733, 367, 942
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1. What is the GCD of 56, 721, 387, 171?

GCD of 56, 721, 387, 171 is 1

2. Where do I get the detailed procedure to find GCD of 56, 721, 387, 171?

You can find a detailed procedure to find GCD of 56, 721, 387, 171 on our page.

3. How to find GCD of 56, 721, 387, 171 on a calculator?

You can find the GCD of 56, 721, 387, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.