GCD of 484, 404, 560, 324 Calculator

Given Input numbers are 484, 404, 560, 324

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (484, 404, 560, 324) = 4.

Given numbers are 484, 404, 560, 324

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 404 are 2 x 2 x 101

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 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 484, 404, 560, 324 is 4.

Given numbers are 484, 404, 560, 324

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

Apply this formula for all numbers.

Step1:

LCM(484, 404) = 48884

GCD(484, 404) = ( 484 x 404 ) / 48884

= 484 / 404

= 484

Step2:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

Step3:

LCM(4, 324) = 324

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

= 4 / 324

= 4

So, Greatest Common Divisor of 484, 404, 560, 324 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 265, 469, 607
• GCD of 200, 949, 573, 462
• GCD of 383, 328, 747, 987
• GCD of 593, 253, 327, 838
• GCD of 979, 721, 358, 955

Given numbers are 484, 404, 560, 324
The greatest common divisor of numbers 484, 404, 560, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 404, 560, 324 is 4.

1. What is the GCD of 484, 404, 560, 324?

GCD of given numbers 484, 404, 560, 324 is 4

2. How to calculate the greatest common divisor of 484, 404, 560, 324?

We can find the highest common divisor of 484, 404, 560, 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 484, 404, 560, 324 i.e 4.

3. How can I use the GCD of 484, 404, 560, 324Calculator?

Out the numbers 484, 404, 560, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.