GCD of 585, 852, 614, 991 Calculator

Given Input numbers are 585, 852, 614, 991

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 585, 852, 614, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 852, 614, 991 is 1.

Therefore, GCD of numbers 585, 852, 614, 991 is 1

Given Input Data is 585, 852, 614, 991

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 614 is 2 x 307

Prime Factorization of 991 is 991

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, 852) = 166140

GCD(585, 852) = ( 585 x 852 ) / 166140

GCD(585, 852) = 498420 / 166140

GCD(585, 852) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 614

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

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

GCD(3, 614) = 1842 / 1842

GCD(3, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 585, 852, 614, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 118, 914, 766
• GCD of 959, 984, 329, 854
• GCD of 644, 426, 138, 911
• GCD of 638, 326, 415, 862
• GCD of 791, 562, 795, 475

1. What is the GCD of 585, 852, 614, 991?

GCD of 585, 852, 614, 991 is 1

2. Where do I get the detailed procedure to find GCD of 585, 852, 614, 991?

You can find a detailed procedure to find GCD of 585, 852, 614, 991 on our page.

3. How to find GCD of 585, 852, 614, 991 on a calculator?

You can find the GCD of 585, 852, 614, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.