GCD of 496, 324, 580 Calculator

Given Input numbers are 496, 324, 580

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 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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (496, 324, 580) = 4.

Given numbers are 496, 324, 580

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 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2²

Therefore, GCD of 496, 324, 580 is 4.

Given numbers are 496, 324, 580

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

Apply this formula for all numbers.

Step1:

LCM(496, 324) = 40176

GCD(496, 324) = ( 496 x 324 ) / 40176

= 496 / 324

= 496

Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

So, Greatest Common Divisor of 496, 324, 580 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 111, 397
• GCD of 630, 317, 320
• GCD of 253, 789, 659
• GCD of 677, 462, 613
• GCD of 171, 655, 238

Given numbers are 496, 324, 580
The greatest common divisor of numbers 496, 324, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 324, 580 is 4.

1. What is the GCD of 496, 324, 580?

GCD of given numbers 496, 324, 580 is 4

2. How to calculate the greatest common divisor of 496, 324, 580?

We can find the highest common divisor of 496, 324, 580 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, 324, 580 i.e 4.

3. How can I use the GCD of 496, 324, 580Calculator?

Out the numbers 496, 324, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.