GCD of 504, 921, 459, 888 Calculator

Given Input numbers are 504, 921, 459, 888

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

GCD of numbers is the greatest common divisor

So, the GCD (504, 921, 459, 888) = 3.

Given numbers are 504, 921, 459, 888

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 921 are 3 x 307

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 504, 921, 459, 888 is 3.

Given numbers are 504, 921, 459, 888

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

Apply this formula for all numbers.

Step1:

LCM(504, 921) = 154728

GCD(504, 921) = ( 504 x 921 ) / 154728

= 504 / 921

= 504

Step2:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

Step3:

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

= 3 / 888

= 3

So, Greatest Common Divisor of 504, 921, 459, 888 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 146, 360, 649
• GCD of 438, 691, 784, 673
• GCD of 145, 641, 605, 201
• GCD of 299, 712, 604, 141
• GCD of 977, 187, 961, 876

Given numbers are 504, 921, 459, 888
The greatest common divisor of numbers 504, 921, 459, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 921, 459, 888 is 3.

1. What is the GCD of 504, 921, 459, 888?

GCD of given numbers 504, 921, 459, 888 is 3

2. How to calculate the greatest common divisor of 504, 921, 459, 888?

We can find the highest common divisor of 504, 921, 459, 888 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, 921, 459, 888 i.e 3.

3. How can I use the GCD of 504, 921, 459, 888Calculator?

Out the numbers 504, 921, 459, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.