GCD of 414, 108, 609, 825 Calculator

Given Input numbers are 414, 108, 609, 825

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 609 :

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

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (414, 108, 609, 825) = 3.

Given numbers are 414, 108, 609, 825

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 609 are 3 x 7 x 29

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 414, 108, 609, 825 is 3.

Given numbers are 414, 108, 609, 825

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

Apply this formula for all numbers.

Step1:

LCM(414, 108) = 2484

GCD(414, 108) = ( 414 x 108 ) / 2484

= 414 / 108

= 414

Step2:

LCM(18, 609) = 3654

GCD(18, 609) = ( 18 x 609 ) / 3654

= 18 / 609

= 18

Step3:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 414, 108, 609, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 686, 363, 601
• GCD of 796, 282, 747, 850
• GCD of 725, 729, 364, 435
• GCD of 482, 307, 986, 610
• GCD of 532, 383, 750, 298

Given numbers are 414, 108, 609, 825
The greatest common divisor of numbers 414, 108, 609, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 108, 609, 825 is 3.

1. What is the GCD of 414, 108, 609, 825?

GCD of given numbers 414, 108, 609, 825 is 3

2. How to calculate the greatest common divisor of 414, 108, 609, 825?

We can find the highest common divisor of 414, 108, 609, 825 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 414, 108, 609, 825 i.e 3.

3. How can I use the GCD of 414, 108, 609, 825Calculator?

Out the numbers 414, 108, 609, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.