GCD of 724, 382, 589, 977 Calculator

Given Input numbers are 724, 382, 589, 977

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 724, 382, 589, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 382, 589, 977 is 1.

Therefore, GCD of numbers 724, 382, 589, 977 is 1

Given Input Data is 724, 382, 589, 977

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 382 is 2 x 191

Prime Factorization of 589 is 19 x 31

Prime Factorization of 977 is 977

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(724, 382) = 138284

GCD(724, 382) = ( 724 x 382 ) / 138284

GCD(724, 382) = 276568 / 138284

GCD(724, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 724, 382, 589, 977 is 1

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1. What is the GCD of 724, 382, 589, 977?

GCD of 724, 382, 589, 977 is 1

2. Where do I get the detailed procedure to find GCD of 724, 382, 589, 977?

You can find a detailed procedure to find GCD of 724, 382, 589, 977 on our page.

3. How to find GCD of 724, 382, 589, 977 on a calculator?

You can find the GCD of 724, 382, 589, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.