GCD of 492, 604, 540 Calculator

Given Input numbers are 492, 604, 540

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

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

GCD of numbers is the greatest common divisor

So, the GCD (492, 604, 540) = 4.

Given numbers are 492, 604, 540

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 604 are 2 x 2 x 151

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

The highest common occurrence is 2²

Therefore, GCD of 492, 604, 540 is 4.

Given numbers are 492, 604, 540

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

Apply this formula for all numbers.

Step1:

LCM(492, 604) = 74292

GCD(492, 604) = ( 492 x 604 ) / 74292

= 492 / 604

= 492

Step2:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4

So, Greatest Common Divisor of 492, 604, 540 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 577, 156
• GCD of 100, 188, 931
• GCD of 165, 619, 656
• GCD of 412, 401, 205
• GCD of 287, 578, 332

Given numbers are 492, 604, 540
The greatest common divisor of numbers 492, 604, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 604, 540 is 4.

1. What is the GCD of 492, 604, 540?

GCD of given numbers 492, 604, 540 is 4

2. How to calculate the greatest common divisor of 492, 604, 540?

We can find the highest common divisor of 492, 604, 540 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 492, 604, 540 i.e 4.

3. How can I use the GCD of 492, 604, 540Calculator?

Out the numbers 492, 604, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.