GCD of 432, 504, 756, 933 Calculator

Given Input numbers are 432, 504, 756, 933

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

GCD of numbers is the greatest common divisor

So, the GCD (432, 504, 756, 933) = 3.

Given numbers are 432, 504, 756, 933

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 933 are 3 x 311

The highest common occurrence is 3¹

Therefore, GCD of 432, 504, 756, 933 is 3.

Given numbers are 432, 504, 756, 933

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

Apply this formula for all numbers.

Step1:

LCM(432, 504) = 3024

GCD(432, 504) = ( 432 x 504 ) / 3024

= 432 / 504

= 432

Step2:

LCM(72, 756) = 1512

GCD(72, 756) = ( 72 x 756 ) / 1512

= 72 / 756

= 72

Step3:

LCM(36, 933) = 11196

GCD(36, 933) = ( 36 x 933 ) / 11196

= 36 / 933

= 36

So, Greatest Common Divisor of 432, 504, 756, 933 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 463, 346, 602
• GCD of 759, 866, 238, 940
• GCD of 862, 363, 849, 356
• GCD of 660, 890, 916, 755
• GCD of 821, 955, 807, 140

Given numbers are 432, 504, 756, 933
The greatest common divisor of numbers 432, 504, 756, 933 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 504, 756, 933 is 3.

1. What is the GCD of 432, 504, 756, 933?

GCD of given numbers 432, 504, 756, 933 is 3

2. How to calculate the greatest common divisor of 432, 504, 756, 933?

We can find the highest common divisor of 432, 504, 756, 933 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 432, 504, 756, 933 i.e 3.

3. How can I use the GCD of 432, 504, 756, 933Calculator?

Out the numbers 432, 504, 756, 933 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.