GCD of 657, 180, 785, 392 Calculator

Given Input numbers are 657, 180, 785, 392

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 657, 180, 785, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 180, 785, 392 is 1.

Therefore, GCD of numbers 657, 180, 785, 392 is 1

Given Input Data is 657, 180, 785, 392

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 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 785 is 5 x 157

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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, 180) = 13140

GCD(657, 180) = ( 657 x 180 ) / 13140

GCD(657, 180) = 118260 / 13140

GCD(657, 180) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 785

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

LCM(9, 785) = 7065

GCD(9, 785) = ( 9 x 785 ) / 7065

GCD(9, 785) = 7065 / 7065

GCD(9, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 657, 180, 785, 392 is 1

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• GCD of 508, 835, 814, 303
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• GCD of 141, 244, 317, 252

1. What is the GCD of 657, 180, 785, 392?

GCD of 657, 180, 785, 392 is 1

2. Where do I get the detailed procedure to find GCD of 657, 180, 785, 392?

You can find a detailed procedure to find GCD of 657, 180, 785, 392 on our page.

3. How to find GCD of 657, 180, 785, 392 on a calculator?

You can find the GCD of 657, 180, 785, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.