GCD of 496, 308, 504, 324 Calculator

Given Input numbers are 496, 308, 504, 324

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

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 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

GCD of numbers is the greatest common divisor

So, the GCD (496, 308, 504, 324) = 4.

Given numbers are 496, 308, 504, 324

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 496, 308, 504, 324 is 4.

Given numbers are 496, 308, 504, 324

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

Apply this formula for all numbers.

Step1:

LCM(496, 308) = 38192

GCD(496, 308) = ( 496 x 308 ) / 38192

= 496 / 308

= 496

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 324) = 324

GCD(4, 324) = ( 4 x 324 ) / 324

= 4 / 324

= 4

So, Greatest Common Divisor of 496, 308, 504, 324 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 559, 655, 531
• GCD of 798, 545, 560, 161
• GCD of 154, 307, 996, 459
• GCD of 738, 547, 470, 828
• GCD of 652, 919, 867, 158

Given numbers are 496, 308, 504, 324
The greatest common divisor of numbers 496, 308, 504, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 308, 504, 324 is 4.

1. What is the GCD of 496, 308, 504, 324?

GCD of given numbers 496, 308, 504, 324 is 4

2. How to calculate the greatest common divisor of 496, 308, 504, 324?

We can find the highest common divisor of 496, 308, 504, 324 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 496, 308, 504, 324 i.e 4.

3. How can I use the GCD of 496, 308, 504, 324Calculator?

Out the numbers 496, 308, 504, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.