GCD of 504, 694, 812, 312 Calculator

Given Input numbers are 504, 694, 812, 312

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (504, 694, 812, 312) = 2.

Given numbers are 504, 694, 812, 312

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 694 are 2 x 347

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 504, 694, 812, 312 is 2.

Given numbers are 504, 694, 812, 312

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

Apply this formula for all numbers.

Step1:

LCM(504, 694) = 174888

GCD(504, 694) = ( 504 x 694 ) / 174888

= 504 / 694

= 504

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 504, 694, 812, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 772, 826, 490
• GCD of 100, 869, 167, 398
• GCD of 379, 528, 915, 529
• GCD of 259, 638, 124, 470
• GCD of 816, 240, 550, 918

Given numbers are 504, 694, 812, 312
The greatest common divisor of numbers 504, 694, 812, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 694, 812, 312 is 2.

1. What is the GCD of 504, 694, 812, 312?

GCD of given numbers 504, 694, 812, 312 is 2

2. How to calculate the greatest common divisor of 504, 694, 812, 312?

We can find the highest common divisor of 504, 694, 812, 312 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, 694, 812, 312 i.e 2.

3. How can I use the GCD of 504, 694, 812, 312Calculator?

Out the numbers 504, 694, 812, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.