GCD of 540, 772, 328 Calculator

Given Input numbers are 540, 772, 328

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

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (540, 772, 328) = 4.

Given numbers are 540, 772, 328

The list of prime factors of all numbers are

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 328 are 2 x 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 540, 772, 328 is 4.

Given numbers are 540, 772, 328

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

Apply this formula for all numbers.

Step1:

LCM(540, 772) = 104220

GCD(540, 772) = ( 540 x 772 ) / 104220

= 540 / 772

= 540

Step2:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

So, Greatest Common Divisor of 540, 772, 328 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 942, 455
• GCD of 193, 618, 873
• GCD of 405, 313, 564
• GCD of 698, 392, 723
• GCD of 192, 440, 551

Given numbers are 540, 772, 328
The greatest common divisor of numbers 540, 772, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 772, 328 is 4.

1. What is the GCD of 540, 772, 328?

GCD of given numbers 540, 772, 328 is 4

2. How to calculate the greatest common divisor of 540, 772, 328?

We can find the highest common divisor of 540, 772, 328 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 540, 772, 328 i.e 4.

3. How can I use the GCD of 540, 772, 328Calculator?

Out the numbers 540, 772, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.