GCD of 727, 920, 596, 414 Calculator

Given Input numbers are 727, 920, 596, 414

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 727, 920, 596, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 920, 596, 414 is 1.

Therefore, GCD of numbers 727, 920, 596, 414 is 1

Given Input Data is 727, 920, 596, 414

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

Prime Factorization of 727 is 727

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(727, 920) = 668840

GCD(727, 920) = ( 727 x 920 ) / 668840

GCD(727, 920) = 668840 / 668840

GCD(727, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 727, 920, 596, 414 is 1

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1. What is the GCD of 727, 920, 596, 414?

GCD of 727, 920, 596, 414 is 1

2. Where do I get the detailed procedure to find GCD of 727, 920, 596, 414?

You can find a detailed procedure to find GCD of 727, 920, 596, 414 on our page.

3. How to find GCD of 727, 920, 596, 414 on a calculator?

You can find the GCD of 727, 920, 596, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.