GCD of 504, 824, 842, 468 Calculator

Given Input numbers are 504, 824, 842, 468

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (504, 824, 842, 468) = 2.

Given numbers are 504, 824, 842, 468

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 824 are 2 x 2 x 2 x 103

Prime factors of 842 are 2 x 421

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 504, 824, 842, 468 is 2.

Given numbers are 504, 824, 842, 468

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

Apply this formula for all numbers.

Step1:

LCM(504, 824) = 51912

GCD(504, 824) = ( 504 x 824 ) / 51912

= 504 / 824

= 504

Step2:

LCM(8, 842) = 3368

GCD(8, 842) = ( 8 x 842 ) / 3368

= 8 / 842

= 8

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 504, 824, 842, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 496, 821, 196
• GCD of 283, 699, 507, 449
• GCD of 939, 434, 706, 441
• GCD of 605, 399, 232, 313
• GCD of 109, 831, 792, 671

Given numbers are 504, 824, 842, 468
The greatest common divisor of numbers 504, 824, 842, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 824, 842, 468 is 2.

1. What is the GCD of 504, 824, 842, 468?

GCD of given numbers 504, 824, 842, 468 is 2

2. How to calculate the greatest common divisor of 504, 824, 842, 468?

We can find the highest common divisor of 504, 824, 842, 468 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, 824, 842, 468 i.e 2.

3. How can I use the GCD of 504, 824, 842, 468Calculator?

Out the numbers 504, 824, 842, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.