GCD of 592, 509, 49, 949 Calculator

Given Input numbers are 592, 509, 49, 949

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 592, 509, 49, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 509, 49, 949 is 1.

Therefore, GCD of numbers 592, 509, 49, 949 is 1

Given Input Data is 592, 509, 49, 949

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 509 is 509

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(592, 509) = 301328

GCD(592, 509) = ( 592 x 509 ) / 301328

GCD(592, 509) = 301328 / 301328

GCD(592, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 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 592, 509, 49, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 880, 22, 670
• GCD of 301, 549, 11, 165
• GCD of 223, 249, 42, 386
• GCD of 419, 723, 14, 233
• GCD of 764, 566, 14, 596

1. What is the GCD of 592, 509, 49, 949?

GCD of 592, 509, 49, 949 is 1

2. Where do I get the detailed procedure to find GCD of 592, 509, 49, 949?

You can find a detailed procedure to find GCD of 592, 509, 49, 949 on our page.

3. How to find GCD of 592, 509, 49, 949 on a calculator?

You can find the GCD of 592, 509, 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.