GCD of 600, 315, 738, 399 Calculator

Given Input numbers are 600, 315, 738, 399

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (600, 315, 738, 399) = 3.

Given numbers are 600, 315, 738, 399

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 315 are 3 x 3 x 5 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 600, 315, 738, 399 is 3.

Given numbers are 600, 315, 738, 399

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

Apply this formula for all numbers.

Step1:

LCM(600, 315) = 12600

GCD(600, 315) = ( 600 x 315 ) / 12600

= 600 / 315

= 600

Step2:

LCM(15, 738) = 3690

GCD(15, 738) = ( 15 x 738 ) / 3690

= 15 / 738

= 15

Step3:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

So, Greatest Common Divisor of 600, 315, 738, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 774, 216, 582
• GCD of 305, 725, 264, 836
• GCD of 839, 757, 824, 884
• GCD of 797, 430, 675, 337
• GCD of 803, 948, 914, 386

Given numbers are 600, 315, 738, 399
The greatest common divisor of numbers 600, 315, 738, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 315, 738, 399 is 3.

1. What is the GCD of 600, 315, 738, 399?

GCD of given numbers 600, 315, 738, 399 is 3

2. How to calculate the greatest common divisor of 600, 315, 738, 399?

We can find the highest common divisor of 600, 315, 738, 399 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, 315, 738, 399 i.e 3.

3. How can I use the GCD of 600, 315, 738, 399Calculator?

Out the numbers 600, 315, 738, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.