GCD of 504, 916, 378, 408 Calculator

Given Input numbers are 504, 916, 378, 408

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (504, 916, 378, 408) = 2.

Given numbers are 504, 916, 378, 408

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 916 are 2 x 2 x 229

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 504, 916, 378, 408 is 2.

Given numbers are 504, 916, 378, 408

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

Apply this formula for all numbers.

Step1:

LCM(504, 916) = 115416

GCD(504, 916) = ( 504 x 916 ) / 115416

= 504 / 916

= 504

Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 504, 916, 378, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 674, 913, 328
• GCD of 730, 332, 612, 877
• GCD of 377, 898, 604, 601
• GCD of 357, 747, 375, 834
• GCD of 101, 251, 246, 331

Given numbers are 504, 916, 378, 408
The greatest common divisor of numbers 504, 916, 378, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 916, 378, 408 is 2.

1. What is the GCD of 504, 916, 378, 408?

GCD of given numbers 504, 916, 378, 408 is 2

2. How to calculate the greatest common divisor of 504, 916, 378, 408?

We can find the highest common divisor of 504, 916, 378, 408 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, 916, 378, 408 i.e 2.

3. How can I use the GCD of 504, 916, 378, 408Calculator?

Out the numbers 504, 916, 378, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.