GCD of 180, 600, 205, 612 Calculator

Given Input numbers are 180, 600, 205, 612

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (180, 600, 205, 612) = 1.

Given numbers are 180, 600, 205, 612

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 205 are 5 x 41

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Given numbers are 180, 600, 205, 612

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

Apply this formula for all numbers.

Step1:

LCM(180, 600) = 1800

GCD(180, 600) = ( 180 x 600 ) / 1800

= 180 / 600

= 180

Step2:

LCM(60, 205) = 2460

GCD(60, 205) = ( 60 x 205 ) / 2460

= 60 / 205

= 60

Step3:

LCM(5, 612) = 3060

GCD(5, 612) = ( 5 x 612 ) / 3060

= 5 / 612

= 5

So, Greatest Common Divisor of 180, 600, 205, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 856, 829, 364
• GCD of 799, 272, 513, 436
• GCD of 838, 281, 253, 336
• GCD of 714, 659, 239, 586
• GCD of 147, 519, 584, 392

Given numbers are 180, 600, 205, 612
The greatest common divisor of numbers 180, 600, 205, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 600, 205, 612 is 1.

1. What is the GCD of 180, 600, 205, 612?

GCD of given numbers 180, 600, 205, 612 is 1

2. How to calculate the greatest common divisor of 180, 600, 205, 612?

We can find the highest common divisor of 180, 600, 205, 612 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, 600, 205, 612 i.e 1.

3. How can I use the GCD of 180, 600, 205, 612Calculator?

Out the numbers 180, 600, 205, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.