GCD of 225, 609, 540, 474 Calculator

Given Input numbers are 225, 609, 540, 474

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

Divisors of 225 :

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

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

Divisors of 609 :

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

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 474 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (225, 609, 540, 474) = 3.

Given numbers are 225, 609, 540, 474

The list of prime factors of all numbers are

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

Prime factors of 609 are 3 x 7 x 29

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 225, 609, 540, 474 is 3.

Given numbers are 225, 609, 540, 474

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

Apply this formula for all numbers.

Step1:

LCM(225, 609) = 45675

GCD(225, 609) = ( 225 x 609 ) / 45675

= 225 / 609

= 225

Step2:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 225, 609, 540, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 719, 697, 348
• GCD of 571, 287, 264, 885
• GCD of 161, 975, 919, 302
• GCD of 487, 685, 976, 312
• GCD of 473, 405, 692, 751

Given numbers are 225, 609, 540, 474
The greatest common divisor of numbers 225, 609, 540, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 609, 540, 474 is 3.

1. What is the GCD of 225, 609, 540, 474?

GCD of given numbers 225, 609, 540, 474 is 3

2. How to calculate the greatest common divisor of 225, 609, 540, 474?

We can find the highest common divisor of 225, 609, 540, 474 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 225, 609, 540, 474 i.e 3.

3. How can I use the GCD of 225, 609, 540, 474Calculator?

Out the numbers 225, 609, 540, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.