GCD of 561, 558, 609, 471 Calculator

Given Input numbers are 561, 558, 609, 471

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 609 :

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

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

Divisors of 471 :

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

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (561, 558, 609, 471) = 3.

Given numbers are 561, 558, 609, 471

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 609 are 3 x 7 x 29

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 561, 558, 609, 471 is 3.

Given numbers are 561, 558, 609, 471

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

Apply this formula for all numbers.

Step1:

LCM(561, 558) = 104346

GCD(561, 558) = ( 561 x 558 ) / 104346

= 561 / 558

= 561

Step2:

LCM(3, 609) = 609

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

= 3 / 609

= 3

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 561, 558, 609, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 931, 660, 673
• GCD of 383, 697, 880, 706
• GCD of 849, 597, 904, 833
• GCD of 116, 643, 214, 486
• GCD of 295, 222, 643, 814

Given numbers are 561, 558, 609, 471
The greatest common divisor of numbers 561, 558, 609, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 558, 609, 471 is 3.

1. What is the GCD of 561, 558, 609, 471?

GCD of given numbers 561, 558, 609, 471 is 3

2. How to calculate the greatest common divisor of 561, 558, 609, 471?

We can find the highest common divisor of 561, 558, 609, 471 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 561, 558, 609, 471 i.e 3.

3. How can I use the GCD of 561, 558, 609, 471Calculator?

Out the numbers 561, 558, 609, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.