GCD of 936, 360, 333, 138 Calculator

Given Input numbers are 936, 360, 333, 138

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (936, 360, 333, 138) = 3.

Given numbers are 936, 360, 333, 138

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 333 are 3 x 3 x 37

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 936, 360, 333, 138 is 3.

Given numbers are 936, 360, 333, 138

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

Apply this formula for all numbers.

Step1:

LCM(936, 360) = 4680

GCD(936, 360) = ( 936 x 360 ) / 4680

= 936 / 360

= 936

Step2:

LCM(72, 333) = 2664

GCD(72, 333) = ( 72 x 333 ) / 2664

= 72 / 333

= 72

Step3:

LCM(9, 138) = 414

GCD(9, 138) = ( 9 x 138 ) / 414

= 9 / 138

= 9

So, Greatest Common Divisor of 936, 360, 333, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 500, 184, 439
• GCD of 782, 828, 180, 628
• GCD of 338, 355, 813, 932
• GCD of 877, 231, 953, 745
• GCD of 144, 596, 914, 184

Given numbers are 936, 360, 333, 138
The greatest common divisor of numbers 936, 360, 333, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 360, 333, 138 is 3.

1. What is the GCD of 936, 360, 333, 138?

GCD of given numbers 936, 360, 333, 138 is 3

2. How to calculate the greatest common divisor of 936, 360, 333, 138?

We can find the highest common divisor of 936, 360, 333, 138 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, 360, 333, 138 i.e 3.

3. How can I use the GCD of 936, 360, 333, 138Calculator?

Out the numbers 936, 360, 333, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.