GCD of 834, 560, 591, 308 Calculator

Given Input numbers are 834, 560, 591, 308

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 834, 560, 591, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 560, 591, 308 is 1.

Therefore, GCD of numbers 834, 560, 591, 308 is 1

Given Input Data is 834, 560, 591, 308

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 591 is 3 x 197

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 560) = 233520

GCD(834, 560) = ( 834 x 560 ) / 233520

GCD(834, 560) = 467040 / 233520

GCD(834, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 834, 560, 591, 308 is 1

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1. What is the GCD of 834, 560, 591, 308?

GCD of 834, 560, 591, 308 is 1

2. Where do I get the detailed procedure to find GCD of 834, 560, 591, 308?

You can find a detailed procedure to find GCD of 834, 560, 591, 308 on our page.

3. How to find GCD of 834, 560, 591, 308 on a calculator?

You can find the GCD of 834, 560, 591, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.