GCD of 324, 500, 256, 252 Calculator

Given Input numbers are 324, 500, 256, 252

In the factoring method, we have to find the divisors of all numbers

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (324, 500, 256, 252) = 4.

Given numbers are 324, 500, 256, 252

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 324, 500, 256, 252 is 4.

Given numbers are 324, 500, 256, 252

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

Apply this formula for all numbers.

Step1:

LCM(324, 500) = 40500

GCD(324, 500) = ( 324 x 500 ) / 40500

= 324 / 500

= 324

Step2:

LCM(4, 256) = 256

GCD(4, 256) = ( 4 x 256 ) / 256

= 4 / 256

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 324, 500, 256, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 345, 958, 776
• GCD of 207, 131, 295, 487
• GCD of 784, 956, 530, 984
• GCD of 352, 898, 563, 640
• GCD of 766, 693, 771, 603

Given numbers are 324, 500, 256, 252
The greatest common divisor of numbers 324, 500, 256, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 500, 256, 252 is 4.

1. What is the GCD of 324, 500, 256, 252?

GCD of given numbers 324, 500, 256, 252 is 4

2. How to calculate the greatest common divisor of 324, 500, 256, 252?

We can find the highest common divisor of 324, 500, 256, 252 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 324, 500, 256, 252 i.e 4.

3. How can I use the GCD of 324, 500, 256, 252Calculator?

Out the numbers 324, 500, 256, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.