GCD of 471, 261, 609, 459 Calculator

Given Input numbers are 471, 261, 609, 459

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 609 :

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

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (471, 261, 609, 459) = 3.

Given numbers are 471, 261, 609, 459

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 261 are 3 x 3 x 29

Prime factors of 609 are 3 x 7 x 29

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 471, 261, 609, 459 is 3.

Given numbers are 471, 261, 609, 459

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

Apply this formula for all numbers.

Step1:

LCM(471, 261) = 40977

GCD(471, 261) = ( 471 x 261 ) / 40977

= 471 / 261

= 471

Step2:

LCM(3, 609) = 609

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

= 3 / 609

= 3

Step3:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

So, Greatest Common Divisor of 471, 261, 609, 459 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 330, 428, 288
• GCD of 316, 237, 257, 551
• GCD of 686, 803, 323, 241
• GCD of 825, 511, 896, 868
• GCD of 869, 777, 978, 722

Given numbers are 471, 261, 609, 459
The greatest common divisor of numbers 471, 261, 609, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 261, 609, 459 is 3.

1. What is the GCD of 471, 261, 609, 459?

GCD of given numbers 471, 261, 609, 459 is 3

2. How to calculate the greatest common divisor of 471, 261, 609, 459?

We can find the highest common divisor of 471, 261, 609, 459 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 471, 261, 609, 459 i.e 3.

3. How can I use the GCD of 471, 261, 609, 459Calculator?

Out the numbers 471, 261, 609, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.