GCD of 834, 606, 583, 768 Calculator

Given Input numbers are 834, 606, 583, 768

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 834, 606, 583, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 606, 583, 768 is 1.

Therefore, GCD of numbers 834, 606, 583, 768 is 1

Given Input Data is 834, 606, 583, 768

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 583 is 11 x 53

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(834, 606) = 84234

GCD(834, 606) = ( 834 x 606 ) / 84234

GCD(834, 606) = 505404 / 84234

GCD(834, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 583

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

LCM(6, 583) = 3498

GCD(6, 583) = ( 6 x 583 ) / 3498

GCD(6, 583) = 3498 / 3498

GCD(6, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 834, 606, 583, 768 is 1

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1. What is the GCD of 834, 606, 583, 768?

GCD of 834, 606, 583, 768 is 1

2. Where do I get the detailed procedure to find GCD of 834, 606, 583, 768?

You can find a detailed procedure to find GCD of 834, 606, 583, 768 on our page.

3. How to find GCD of 834, 606, 583, 768 on a calculator?

You can find the GCD of 834, 606, 583, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.