GCD of 272, 834, 876, 585 Calculator

Given Input numbers are 272, 834, 876, 585

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 272, 834, 876, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 834, 876, 585 is 1.

Therefore, GCD of numbers 272, 834, 876, 585 is 1

Given Input Data is 272, 834, 876, 585

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(272, 834) = 113424

GCD(272, 834) = ( 272 x 834 ) / 113424

GCD(272, 834) = 226848 / 113424

GCD(272, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 585

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

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

GCD(2, 585) = 1170 / 1170

GCD(2, 585) = 1

GCD of 272, 834, 876, 585 is 1

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1. What is the GCD of 272, 834, 876, 585?

GCD of 272, 834, 876, 585 is 1

2. Where do I get the detailed procedure to find GCD of 272, 834, 876, 585?

You can find a detailed procedure to find GCD of 272, 834, 876, 585 on our page.

3. How to find GCD of 272, 834, 876, 585 on a calculator?

You can find the GCD of 272, 834, 876, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.