GCD of 585, 595, 49, 949 Calculator

Given Input numbers are 585, 595, 49, 949

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 585, 595, 49, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 595, 49, 949 is 1.

Therefore, GCD of numbers 585, 595, 49, 949 is 1

Given Input Data is 585, 595, 49, 949

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 595 is 5 x 7 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 949 is 13 x 73

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, 595) = 69615

GCD(585, 595) = ( 585 x 595 ) / 69615

GCD(585, 595) = 348075 / 69615

GCD(585, 595) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 585, 595, 49, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 317, 19, 361
• GCD of 205, 437, 82, 525
• GCD of 543, 835, 29, 341
• GCD of 661, 856, 32, 568
• GCD of 365, 874, 33, 645

1. What is the GCD of 585, 595, 49, 949?

GCD of 585, 595, 49, 949 is 1

2. Where do I get the detailed procedure to find GCD of 585, 595, 49, 949?

You can find a detailed procedure to find GCD of 585, 595, 49, 949 on our page.

3. How to find GCD of 585, 595, 49, 949 on a calculator?

You can find the GCD of 585, 595, 49, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.