GCD of 924, 180, 318, 600 Calculator

Given Input numbers are 924, 180, 318, 600

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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

GCD of numbers is the greatest common divisor

So, the GCD (924, 180, 318, 600) = 6.

Given numbers are 924, 180, 318, 600

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 318 are 2 x 3 x 53

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 924, 180, 318, 600 is 6.

Given numbers are 924, 180, 318, 600

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

Apply this formula for all numbers.

Step1:

LCM(924, 180) = 13860

GCD(924, 180) = ( 924 x 180 ) / 13860

= 924 / 180

= 924

Step2:

LCM(12, 318) = 636

GCD(12, 318) = ( 12 x 318 ) / 636

= 12 / 318

= 12

Step3:

LCM(6, 600) = 600

GCD(6, 600) = ( 6 x 600 ) / 600

= 6 / 600

= 6

So, Greatest Common Divisor of 924, 180, 318, 600 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 468, 302, 791
• GCD of 805, 197, 663, 866
• GCD of 482, 425, 748, 633
• GCD of 531, 599, 115, 213
• GCD of 164, 926, 933, 502

Given numbers are 924, 180, 318, 600
The greatest common divisor of numbers 924, 180, 318, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 180, 318, 600 is 6.

1. What is the GCD of 924, 180, 318, 600?

GCD of given numbers 924, 180, 318, 600 is 6

2. How to calculate the greatest common divisor of 924, 180, 318, 600?

We can find the highest common divisor of 924, 180, 318, 600 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 924, 180, 318, 600 i.e 6.

3. How can I use the GCD of 924, 180, 318, 600Calculator?

Out the numbers 924, 180, 318, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.