GCD of 180, 178, 808, 540 Calculator

Given Input numbers are 180, 178, 808, 540

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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 (180, 178, 808, 540) = 2.

Given numbers are 180, 178, 808, 540

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 178 are 2 x 89

Prime factors of 808 are 2 x 2 x 2 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 180, 178, 808, 540 is 2.

Given numbers are 180, 178, 808, 540

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

Apply this formula for all numbers.

Step1:

LCM(180, 178) = 16020

GCD(180, 178) = ( 180 x 178 ) / 16020

= 180 / 178

= 180

Step2:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

Step3:

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

= 2 / 540

= 2

So, Greatest Common Divisor of 180, 178, 808, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 451, 687, 421
• GCD of 459, 919, 490, 799
• GCD of 486, 688, 521, 382
• GCD of 818, 239, 175, 675
• GCD of 535, 241, 593, 128

Given numbers are 180, 178, 808, 540
The greatest common divisor of numbers 180, 178, 808, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 178, 808, 540 is 2.

1. What is the GCD of 180, 178, 808, 540?

GCD of given numbers 180, 178, 808, 540 is 2

2. How to calculate the greatest common divisor of 180, 178, 808, 540?

We can find the highest common divisor of 180, 178, 808, 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 180, 178, 808, 540 i.e 2.

3. How can I use the GCD of 180, 178, 808, 540Calculator?

Out the numbers 180, 178, 808, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.