GCD of 450, 324, 474, 580 Calculator

Given Input numbers are 450, 324, 474, 580

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (450, 324, 474, 580) = 2.

Given numbers are 450, 324, 474, 580

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 450, 324, 474, 580 is 2.

Given numbers are 450, 324, 474, 580

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

Apply this formula for all numbers.

Step1:

LCM(450, 324) = 8100

GCD(450, 324) = ( 450 x 324 ) / 8100

= 450 / 324

= 450

Step2:

LCM(18, 474) = 1422

GCD(18, 474) = ( 18 x 474 ) / 1422

= 18 / 474

= 18

Step3:

LCM(6, 580) = 1740

GCD(6, 580) = ( 6 x 580 ) / 1740

= 6 / 580

= 6

So, Greatest Common Divisor of 450, 324, 474, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 734, 896, 232
• GCD of 290, 508, 532, 167
• GCD of 476, 206, 741, 625
• GCD of 961, 661, 340, 196
• GCD of 962, 579, 921, 263

Given numbers are 450, 324, 474, 580
The greatest common divisor of numbers 450, 324, 474, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 324, 474, 580 is 2.

1. What is the GCD of 450, 324, 474, 580?

GCD of given numbers 450, 324, 474, 580 is 2

2. How to calculate the greatest common divisor of 450, 324, 474, 580?

We can find the highest common divisor of 450, 324, 474, 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 450, 324, 474, 580 i.e 2.

3. How can I use the GCD of 450, 324, 474, 580Calculator?

Out the numbers 450, 324, 474, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.