GCD of 582, 758, 71, 949 Calculator

Given Input numbers are 582, 758, 71, 949

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 582, 758, 71, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 758, 71, 949 is 1.

Therefore, GCD of numbers 582, 758, 71, 949 is 1

Given Input Data is 582, 758, 71, 949

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 758 is 2 x 379

Prime Factorization of 71 is 71

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(582, 758) = 220578

GCD(582, 758) = ( 582 x 758 ) / 220578

GCD(582, 758) = 441156 / 220578

GCD(582, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 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 582, 758, 71, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 630, 85, 152
• GCD of 437, 144, 10, 162
• GCD of 229, 872, 35, 876
• GCD of 985, 117, 99, 225
• GCD of 374, 544, 80, 668

1. What is the GCD of 582, 758, 71, 949?

GCD of 582, 758, 71, 949 is 1

2. Where do I get the detailed procedure to find GCD of 582, 758, 71, 949?

You can find a detailed procedure to find GCD of 582, 758, 71, 949 on our page.

3. How to find GCD of 582, 758, 71, 949 on a calculator?

You can find the GCD of 582, 758, 71, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.