GCD of 180, 218, 33, 400 Calculator

Given Input numbers are 180, 218, 33, 400

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (180, 218, 33, 400) = 1.

Given numbers are 180, 218, 33, 400

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 218 are 2 x 109

Prime factors of 33 are 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 180, 218, 33, 400

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

Apply this formula for all numbers.

Step1:

LCM(180, 218) = 19620

GCD(180, 218) = ( 180 x 218 ) / 19620

= 180 / 218

= 180

Step2:

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

= 2 / 33

= 2

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 180, 218, 33, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 807, 77, 733
• GCD of 521, 968, 80, 858
• GCD of 369, 390, 82, 401
• GCD of 969, 166, 65, 551
• GCD of 787, 151, 16, 693

Given numbers are 180, 218, 33, 400
The greatest common divisor of numbers 180, 218, 33, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 218, 33, 400 is 1.

1. What is the GCD of 180, 218, 33, 400?

GCD of given numbers 180, 218, 33, 400 is 1

2. How to calculate the greatest common divisor of 180, 218, 33, 400?

We can find the highest common divisor of 180, 218, 33, 400 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, 218, 33, 400 i.e 1.

3. How can I use the GCD of 180, 218, 33, 400Calculator?

Out the numbers 180, 218, 33, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.