GCD of 561, 474, 192, 225 Calculator

Given Input numbers are 561, 474, 192, 225

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (561, 474, 192, 225) = 3.

Given numbers are 561, 474, 192, 225

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 474 are 2 x 3 x 79

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 561, 474, 192, 225 is 3.

Given numbers are 561, 474, 192, 225

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

Apply this formula for all numbers.

Step1:

LCM(561, 474) = 88638

GCD(561, 474) = ( 561 x 474 ) / 88638

= 561 / 474

= 561

Step2:

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

= 3 / 192

= 3

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 561, 474, 192, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 715, 206, 801
• GCD of 390, 441, 135, 401
• GCD of 279, 943, 656, 755
• GCD of 416, 719, 924, 521
• GCD of 471, 981, 725, 520

Given numbers are 561, 474, 192, 225
The greatest common divisor of numbers 561, 474, 192, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 474, 192, 225 is 3.

1. What is the GCD of 561, 474, 192, 225?

GCD of given numbers 561, 474, 192, 225 is 3

2. How to calculate the greatest common divisor of 561, 474, 192, 225?

We can find the highest common divisor of 561, 474, 192, 225 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, 474, 192, 225 i.e 3.

3. How can I use the GCD of 561, 474, 192, 225Calculator?

Out the numbers 561, 474, 192, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.