GCD of 165, 558, 540, 879 Calculator

Given Input numbers are 165, 558, 540, 879

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (165, 558, 540, 879) = 3.

Given numbers are 165, 558, 540, 879

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

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

Prime factors of 879 are 3 x 293

The highest common occurrence is 3¹

Therefore, GCD of 165, 558, 540, 879 is 3.

Given numbers are 165, 558, 540, 879

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

Apply this formula for all numbers.

Step1:

LCM(165, 558) = 30690

GCD(165, 558) = ( 165 x 558 ) / 30690

= 165 / 558

= 165

Step2:

LCM(3, 540) = 540

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

= 3 / 540

= 3

Step3:

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

= 3 / 879

= 3

So, Greatest Common Divisor of 165, 558, 540, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 507, 564, 662
• GCD of 253, 829, 614, 998
• GCD of 642, 659, 776, 748
• GCD of 994, 421, 429, 463
• GCD of 566, 762, 162, 313

Given numbers are 165, 558, 540, 879
The greatest common divisor of numbers 165, 558, 540, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 558, 540, 879 is 3.

1. What is the GCD of 165, 558, 540, 879?

GCD of given numbers 165, 558, 540, 879 is 3

2. How to calculate the greatest common divisor of 165, 558, 540, 879?

We can find the highest common divisor of 165, 558, 540, 879 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 165, 558, 540, 879 i.e 3.

3. How can I use the GCD of 165, 558, 540, 879Calculator?

Out the numbers 165, 558, 540, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.