GCD of 936, 318, 748, 204 Calculator

Given Input numbers are 936, 318, 748, 204

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 318 :

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

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (936, 318, 748, 204) = 2.

Given numbers are 936, 318, 748, 204

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 318 are 2 x 3 x 53

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 936, 318, 748, 204 is 2.

Given numbers are 936, 318, 748, 204

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

Apply this formula for all numbers.

Step1:

LCM(936, 318) = 49608

GCD(936, 318) = ( 936 x 318 ) / 49608

= 936 / 318

= 936

Step2:

LCM(6, 748) = 2244

GCD(6, 748) = ( 6 x 748 ) / 2244

= 6 / 748

= 6

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 936, 318, 748, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 486, 310, 995
• GCD of 742, 352, 555, 244
• GCD of 541, 937, 530, 246
• GCD of 436, 455, 610, 619
• GCD of 744, 509, 245, 587

Given numbers are 936, 318, 748, 204
The greatest common divisor of numbers 936, 318, 748, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 318, 748, 204 is 2.

1. What is the GCD of 936, 318, 748, 204?

GCD of given numbers 936, 318, 748, 204 is 2

2. How to calculate the greatest common divisor of 936, 318, 748, 204?

We can find the highest common divisor of 936, 318, 748, 204 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 936, 318, 748, 204 i.e 2.

3. How can I use the GCD of 936, 318, 748, 204Calculator?

Out the numbers 936, 318, 748, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.