GCD of 504, 684, 920, 364 Calculator

Given Input numbers are 504, 684, 920, 364

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (504, 684, 920, 364) = 4.

Given numbers are 504, 684, 920, 364

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2²

Therefore, GCD of 504, 684, 920, 364 is 4.

Given numbers are 504, 684, 920, 364

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

Apply this formula for all numbers.

Step1:

LCM(504, 684) = 9576

GCD(504, 684) = ( 504 x 684 ) / 9576

= 504 / 684

= 504

Step2:

LCM(36, 920) = 8280

GCD(36, 920) = ( 36 x 920 ) / 8280

= 36 / 920

= 36

Step3:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

So, Greatest Common Divisor of 504, 684, 920, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 377, 998, 877
• GCD of 864, 137, 388, 820
• GCD of 506, 404, 599, 404
• GCD of 493, 503, 638, 435
• GCD of 667, 954, 704, 263

Given numbers are 504, 684, 920, 364
The greatest common divisor of numbers 504, 684, 920, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 684, 920, 364 is 4.

1. What is the GCD of 504, 684, 920, 364?

GCD of given numbers 504, 684, 920, 364 is 4

2. How to calculate the greatest common divisor of 504, 684, 920, 364?

We can find the highest common divisor of 504, 684, 920, 364 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, 684, 920, 364 i.e 4.

3. How can I use the GCD of 504, 684, 920, 364Calculator?

Out the numbers 504, 684, 920, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.