GCD of 585, 314, 277, 968 Calculator

Given Input numbers are 585, 314, 277, 968

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

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 585, 314, 277, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 314, 277, 968 is 1.

Therefore, GCD of numbers 585, 314, 277, 968 is 1

Given Input Data is 585, 314, 277, 968

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

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 277 is 277

Prime Factorization of 968 is 2 x 2 x 2 x 11 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(585, 314) = 183690

GCD(585, 314) = ( 585 x 314 ) / 183690

GCD(585, 314) = 183690 / 183690

GCD(585, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 585, 314, 277, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 732, 482, 182
• GCD of 121, 112, 964, 378
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• GCD of 219, 139, 228, 741

1. What is the GCD of 585, 314, 277, 968?

GCD of 585, 314, 277, 968 is 1

2. Where do I get the detailed procedure to find GCD of 585, 314, 277, 968?

You can find a detailed procedure to find GCD of 585, 314, 277, 968 on our page.

3. How to find GCD of 585, 314, 277, 968 on a calculator?

You can find the GCD of 585, 314, 277, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.