GCD of 382, 769, 24, 586 Calculator

Given Input numbers are 382, 769, 24, 586

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

Divisors of 382

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

1, 2, 191, 382

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 382, 769, 24, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 769, 24, 586 is 1.

Therefore, GCD of numbers 382, 769, 24, 586 is 1

Given Input Data is 382, 769, 24, 586

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 769 is 769

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 586 is 2 x 293

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(382, 769) = 293758

GCD(382, 769) = ( 382 x 769 ) / 293758

GCD(382, 769) = 293758 / 293758

GCD(382, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 382, 769, 24, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 158, 81, 285
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• GCD of 421, 932, 24, 535
• GCD of 344, 471, 94, 440
• GCD of 988, 290, 13, 978

1. What is the GCD of 382, 769, 24, 586?

GCD of 382, 769, 24, 586 is 1

2. Where do I get the detailed procedure to find GCD of 382, 769, 24, 586?

You can find a detailed procedure to find GCD of 382, 769, 24, 586 on our page.

3. How to find GCD of 382, 769, 24, 586 on a calculator?

You can find the GCD of 382, 769, 24, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.