GCD of 126, 288, 216, 561 Calculator

Given Input numbers are 126, 288, 216, 561

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 (126, 288, 216, 561) = 3.

Given numbers are 126, 288, 216, 561

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 126, 288, 216, 561 is 3.

Given numbers are 126, 288, 216, 561

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

Apply this formula for all numbers.

Step1:

LCM(126, 288) = 2016

GCD(126, 288) = ( 126 x 288 ) / 2016

= 126 / 288

= 126

Step2:

LCM(18, 216) = 216

GCD(18, 216) = ( 18 x 216 ) / 216

= 18 / 216

= 18

Step3:

LCM(18, 561) = 3366

GCD(18, 561) = ( 18 x 561 ) / 3366

= 18 / 561

= 18

So, Greatest Common Divisor of 126, 288, 216, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 972, 868, 362
• GCD of 104, 349, 194, 469
• GCD of 486, 436, 611, 539
• GCD of 504, 529, 197, 957
• GCD of 323, 760, 997, 865

Given numbers are 126, 288, 216, 561
The greatest common divisor of numbers 126, 288, 216, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 288, 216, 561 is 3.

1. What is the GCD of 126, 288, 216, 561?

GCD of given numbers 126, 288, 216, 561 is 3

2. How to calculate the greatest common divisor of 126, 288, 216, 561?

We can find the highest common divisor of 126, 288, 216, 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 126, 288, 216, 561 i.e 3.

3. How can I use the GCD of 126, 288, 216, 561Calculator?

Out the numbers 126, 288, 216, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.