GCD of 180, 180, 440, 395 Calculator

Given Input numbers are 180, 180, 440, 395

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 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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

GCD of numbers is the greatest common divisor

So, the GCD (180, 180, 440, 395) = 5.

Given numbers are 180, 180, 440, 395

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 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 395 are 5 x 79

The highest common occurrence is 5¹

Therefore, GCD of 180, 180, 440, 395 is 5.

Given numbers are 180, 180, 440, 395

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

Apply this formula for all numbers.

Step1:

LCM(180, 180) = 180

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

= 180 / 180

= 180

Step2:

LCM(180, 440) = 3960

GCD(180, 440) = ( 180 x 440 ) / 3960

= 180 / 440

= 180

Step3:

LCM(20, 395) = 1580

GCD(20, 395) = ( 20 x 395 ) / 1580

= 20 / 395

= 20

So, Greatest Common Divisor of 180, 180, 440, 395 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 755, 772, 142
• GCD of 316, 292, 904, 522
• GCD of 772, 256, 953, 504
• GCD of 495, 215, 380, 307
• GCD of 612, 269, 957, 706

Given numbers are 180, 180, 440, 395
The greatest common divisor of numbers 180, 180, 440, 395 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 180, 440, 395 is 5.

1. What is the GCD of 180, 180, 440, 395?

GCD of given numbers 180, 180, 440, 395 is 5

2. How to calculate the greatest common divisor of 180, 180, 440, 395?

We can find the highest common divisor of 180, 180, 440, 395 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, 180, 440, 395 i.e 5.

3. How can I use the GCD of 180, 180, 440, 395Calculator?

Out the numbers 180, 180, 440, 395 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.