GCD of 657, 178, 380, 723 Calculator

Given Input numbers are 657, 178, 380, 723

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 657, 178, 380, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 178, 380, 723 is 1.

Therefore, GCD of numbers 657, 178, 380, 723 is 1

Given Input Data is 657, 178, 380, 723

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 178 is 2 x 89

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 723 is 3 x 241

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(657, 178) = 116946

GCD(657, 178) = ( 657 x 178 ) / 116946

GCD(657, 178) = 116946 / 116946

GCD(657, 178) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 657, 178, 380, 723 is 1

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1. What is the GCD of 657, 178, 380, 723?

GCD of 657, 178, 380, 723 is 1

2. Where do I get the detailed procedure to find GCD of 657, 178, 380, 723?

You can find a detailed procedure to find GCD of 657, 178, 380, 723 on our page.

3. How to find GCD of 657, 178, 380, 723 on a calculator?

You can find the GCD of 657, 178, 380, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.