GCD of 504, 331, 496, 600 Calculator

Given Input numbers are 504, 331, 496, 600

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 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (504, 331, 496, 600) = 1.

Given numbers are 504, 331, 496, 600

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 331 are 331

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 504, 331, 496, 600

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

Apply this formula for all numbers.

Step1:

LCM(504, 331) = 166824

GCD(504, 331) = ( 504 x 331 ) / 166824

= 504 / 331

= 504

Step2:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 504, 331, 496, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 973, 584, 170
• GCD of 216, 904, 408, 368
• GCD of 202, 399, 714, 668
• GCD of 712, 265, 478, 249
• GCD of 116, 358, 318, 187

Given numbers are 504, 331, 496, 600
The greatest common divisor of numbers 504, 331, 496, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 331, 496, 600 is 1.

1. What is the GCD of 504, 331, 496, 600?

GCD of given numbers 504, 331, 496, 600 is 1

2. How to calculate the greatest common divisor of 504, 331, 496, 600?

We can find the highest common divisor of 504, 331, 496, 600 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, 331, 496, 600 i.e 1.

3. How can I use the GCD of 504, 331, 496, 600Calculator?

Out the numbers 504, 331, 496, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.