GCD of 219, 552, 264, 561 Calculator

Given Input numbers are 219, 552, 264, 561

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 561 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (219, 552, 264, 561) = 3.

Given numbers are 219, 552, 264, 561

The list of prime factors of all numbers are

Prime factors of 219 are 3 x 73

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 219, 552, 264, 561 is 3.

Given numbers are 219, 552, 264, 561

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

Apply this formula for all numbers.

Step1:

LCM(219, 552) = 40296

GCD(219, 552) = ( 219 x 552 ) / 40296

= 219 / 552

= 219

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 219, 552, 264, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 522, 771, 953
• GCD of 561, 329, 813, 222
• GCD of 938, 471, 162, 676
• GCD of 315, 358, 660, 934
• GCD of 732, 767, 845, 767

Given numbers are 219, 552, 264, 561
The greatest common divisor of numbers 219, 552, 264, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 552, 264, 561 is 3.

1. What is the GCD of 219, 552, 264, 561?

GCD of given numbers 219, 552, 264, 561 is 3

2. How to calculate the greatest common divisor of 219, 552, 264, 561?

We can find the highest common divisor of 219, 552, 264, 561 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 219, 552, 264, 561 i.e 3.

3. How can I use the GCD of 219, 552, 264, 561Calculator?

Out the numbers 219, 552, 264, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.