GCD of 600, 570, 494, 309 Calculator

Given Input numbers are 600, 570, 494, 309

In the factoring method, we have to find the divisors of all numbers

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (600, 570, 494, 309) = 1.

Given numbers are 600, 570, 494, 309

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 494 are 2 x 13 x 19

Prime factors of 309 are 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 600, 570, 494, 309

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(600, 570) = 11400

GCD(600, 570) = ( 600 x 570 ) / 11400

= 600 / 570

= 600

Step2:

LCM(30, 494) = 7410

GCD(30, 494) = ( 30 x 494 ) / 7410

= 30 / 494

= 30

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 600, 570, 494, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 629, 122, 779
• GCD of 551, 470, 104, 195
• GCD of 535, 862, 896, 462
• GCD of 575, 619, 410, 566
• GCD of 463, 252, 941, 511

Given numbers are 600, 570, 494, 309
The greatest common divisor of numbers 600, 570, 494, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 570, 494, 309 is 1.

1. What is the GCD of 600, 570, 494, 309?

GCD of given numbers 600, 570, 494, 309 is 1

2. How to calculate the greatest common divisor of 600, 570, 494, 309?

We can find the highest common divisor of 600, 570, 494, 309 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 600, 570, 494, 309 i.e 1.

3. How can I use the GCD of 600, 570, 494, 309Calculator?

Out the numbers 600, 570, 494, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.