GCD of 609, 360, 447, 213 Calculator

Given Input numbers are 609, 360, 447, 213

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (609, 360, 447, 213) = 3.

Given numbers are 609, 360, 447, 213

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 447 are 3 x 149

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 609, 360, 447, 213 is 3.

Given numbers are 609, 360, 447, 213

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

Apply this formula for all numbers.

Step1:

LCM(609, 360) = 73080

GCD(609, 360) = ( 609 x 360 ) / 73080

= 609 / 360

= 609

Step2:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 609, 360, 447, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 470, 398, 661
• GCD of 488, 408, 824, 374
• GCD of 303, 392, 914, 335
• GCD of 643, 170, 706, 124
• GCD of 255, 284, 955, 865

Given numbers are 609, 360, 447, 213
The greatest common divisor of numbers 609, 360, 447, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 360, 447, 213 is 3.

1. What is the GCD of 609, 360, 447, 213?

GCD of given numbers 609, 360, 447, 213 is 3

2. How to calculate the greatest common divisor of 609, 360, 447, 213?

We can find the highest common divisor of 609, 360, 447, 213 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 609, 360, 447, 213 i.e 3.

3. How can I use the GCD of 609, 360, 447, 213Calculator?

Out the numbers 609, 360, 447, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.