GCD of 504, 399, 132, 456 Calculator

Given Input numbers are 504, 399, 132, 456

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

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 399 :

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

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (504, 399, 132, 456) = 3.

Given numbers are 504, 399, 132, 456

The list of prime factors of all numbers are

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

Prime factors of 399 are 3 x 7 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 504, 399, 132, 456 is 3.

Given numbers are 504, 399, 132, 456

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

Apply this formula for all numbers.

Step1:

LCM(504, 399) = 9576

GCD(504, 399) = ( 504 x 399 ) / 9576

= 504 / 399

= 504

Step2:

LCM(21, 132) = 924

GCD(21, 132) = ( 21 x 132 ) / 924

= 21 / 132

= 21

Step3:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

So, Greatest Common Divisor of 504, 399, 132, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 216, 536, 865
• GCD of 786, 797, 887, 840
• GCD of 398, 666, 550, 807
• GCD of 299, 776, 716, 778
• GCD of 545, 225, 273, 869

Given numbers are 504, 399, 132, 456
The greatest common divisor of numbers 504, 399, 132, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 399, 132, 456 is 3.

1. What is the GCD of 504, 399, 132, 456?

GCD of given numbers 504, 399, 132, 456 is 3

2. How to calculate the greatest common divisor of 504, 399, 132, 456?

We can find the highest common divisor of 504, 399, 132, 456 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 504, 399, 132, 456 i.e 3.

3. How can I use the GCD of 504, 399, 132, 456Calculator?

Out the numbers 504, 399, 132, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.