GCD of 180, 220, 990, 597 Calculator

Given Input numbers are 180, 220, 990, 597

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (180, 220, 990, 597) = 1.

Given numbers are 180, 220, 990, 597

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 220 are 2 x 2 x 5 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 597 are 3 x 199

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

Given numbers are 180, 220, 990, 597

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

Apply this formula for all numbers.

Step1:

LCM(180, 220) = 1980

GCD(180, 220) = ( 180 x 220 ) / 1980

= 180 / 220

= 180

Step2:

LCM(20, 990) = 1980

GCD(20, 990) = ( 20 x 990 ) / 1980

= 20 / 990

= 20

Step3:

LCM(10, 597) = 5970

GCD(10, 597) = ( 10 x 597 ) / 5970

= 10 / 597

= 10

So, Greatest Common Divisor of 180, 220, 990, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 853, 649, 347
• GCD of 551, 917, 633, 322
• GCD of 277, 421, 604, 339
• GCD of 114, 792, 293, 686
• GCD of 455, 191, 484, 535

Given numbers are 180, 220, 990, 597
The greatest common divisor of numbers 180, 220, 990, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 220, 990, 597 is 1.

1. What is the GCD of 180, 220, 990, 597?

GCD of given numbers 180, 220, 990, 597 is 1

2. How to calculate the greatest common divisor of 180, 220, 990, 597?

We can find the highest common divisor of 180, 220, 990, 597 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, 220, 990, 597 i.e 1.

3. How can I use the GCD of 180, 220, 990, 597Calculator?

Out the numbers 180, 220, 990, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.