GCD of 408, 726, 165, 609 Calculator

Given Input numbers are 408, 726, 165, 609

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 609 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 726, 165, 609) = 3.

Given numbers are 408, 726, 165, 609

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 408, 726, 165, 609 is 3.

Given numbers are 408, 726, 165, 609

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

Apply this formula for all numbers.

Step1:

LCM(408, 726) = 49368

GCD(408, 726) = ( 408 x 726 ) / 49368

= 408 / 726

= 408

Step2:

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

= 6 / 165

= 6

Step3:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

So, Greatest Common Divisor of 408, 726, 165, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 262, 811, 380
• GCD of 217, 322, 615, 827
• GCD of 919, 336, 953, 148
• GCD of 808, 418, 907, 201
• GCD of 353, 508, 285, 461

Given numbers are 408, 726, 165, 609
The greatest common divisor of numbers 408, 726, 165, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 726, 165, 609 is 3.

1. What is the GCD of 408, 726, 165, 609?

GCD of given numbers 408, 726, 165, 609 is 3

2. How to calculate the greatest common divisor of 408, 726, 165, 609?

We can find the highest common divisor of 408, 726, 165, 609 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 408, 726, 165, 609 i.e 3.

3. How can I use the GCD of 408, 726, 165, 609Calculator?

Out the numbers 408, 726, 165, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.