GCD of 600, 260, 149, 582 Calculator

Given Input numbers are 600, 260, 149, 582

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 582

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

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

Greatest Common Divisior

We found the divisors of 600, 260, 149, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 260, 149, 582 is 1.

Therefore, GCD of numbers 600, 260, 149, 582 is 1

Given Input Data is 600, 260, 149, 582

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 149 is 149

Prime Factorization of 582 is 2 x 3 x 97

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(600, 260) = 7800

GCD(600, 260) = ( 600 x 260 ) / 7800

GCD(600, 260) = 156000 / 7800

GCD(600, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 149

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

LCM(20, 149) = 2980

GCD(20, 149) = ( 20 x 149 ) / 2980

GCD(20, 149) = 2980 / 2980

GCD(20, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 600, 260, 149, 582 is 1

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1. What is the GCD of 600, 260, 149, 582?

GCD of 600, 260, 149, 582 is 1

2. Where do I get the detailed procedure to find GCD of 600, 260, 149, 582?

You can find a detailed procedure to find GCD of 600, 260, 149, 582 on our page.

3. How to find GCD of 600, 260, 149, 582 on a calculator?

You can find the GCD of 600, 260, 149, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.