GCD of 540, 303, 303, 159 Calculator

Given Input numbers are 540, 303, 303, 159

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (540, 303, 303, 159) = 3.

Given numbers are 540, 303, 303, 159

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 303 are 3 x 101

Prime factors of 303 are 3 x 101

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 540, 303, 303, 159 is 3.

Given numbers are 540, 303, 303, 159

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

Apply this formula for all numbers.

Step1:

LCM(540, 303) = 54540

GCD(540, 303) = ( 540 x 303 ) / 54540

= 540 / 303

= 540

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3

So, Greatest Common Divisor of 540, 303, 303, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 394, 312, 313
• GCD of 122, 688, 353, 524
• GCD of 645, 907, 887, 993
• GCD of 817, 636, 446, 996
• GCD of 291, 461, 219, 182

Given numbers are 540, 303, 303, 159
The greatest common divisor of numbers 540, 303, 303, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 303, 303, 159 is 3.

1. What is the GCD of 540, 303, 303, 159?

GCD of given numbers 540, 303, 303, 159 is 3

2. How to calculate the greatest common divisor of 540, 303, 303, 159?

We can find the highest common divisor of 540, 303, 303, 159 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, 303, 303, 159 i.e 3.

3. How can I use the GCD of 540, 303, 303, 159Calculator?

Out the numbers 540, 303, 303, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.