GCD of 213, 705, 30, 330 Calculator

Given Input numbers are 213, 705, 30, 330

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (213, 705, 30, 330) = 3.

Given numbers are 213, 705, 30, 330

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 705 are 3 x 5 x 47

Prime factors of 30 are 2 x 3 x 5

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 213, 705, 30, 330 is 3.

Given numbers are 213, 705, 30, 330

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

Apply this formula for all numbers.

Step1:

LCM(213, 705) = 50055

GCD(213, 705) = ( 213 x 705 ) / 50055

= 213 / 705

= 213

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

Step3:

LCM(3, 330) = 330

GCD(3, 330) = ( 3 x 330 ) / 330

= 3 / 330

= 3

So, Greatest Common Divisor of 213, 705, 30, 330 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 109, 27, 156
• GCD of 699, 826, 18, 416
• GCD of 281, 978, 49, 626
• GCD of 166, 202, 44, 555
• GCD of 317, 282, 85, 121

Given numbers are 213, 705, 30, 330
The greatest common divisor of numbers 213, 705, 30, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 705, 30, 330 is 3.

1. What is the GCD of 213, 705, 30, 330?

GCD of given numbers 213, 705, 30, 330 is 3

2. How to calculate the greatest common divisor of 213, 705, 30, 330?

We can find the highest common divisor of 213, 705, 30, 330 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 213, 705, 30, 330 i.e 3.

3. How can I use the GCD of 213, 705, 30, 330Calculator?

Out the numbers 213, 705, 30, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.