GCD of 306, 675, 756, 213 Calculator

Given Input numbers are 306, 675, 756, 213

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 213 :

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

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (306, 675, 756, 213) = 3.

Given numbers are 306, 675, 756, 213

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 306, 675, 756, 213 is 3.

Given numbers are 306, 675, 756, 213

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

Apply this formula for all numbers.

Step1:

LCM(306, 675) = 22950

GCD(306, 675) = ( 306 x 675 ) / 22950

= 306 / 675

= 306

Step2:

LCM(9, 756) = 756

GCD(9, 756) = ( 9 x 756 ) / 756

= 9 / 756

= 9

Step3:

LCM(9, 213) = 639

GCD(9, 213) = ( 9 x 213 ) / 639

= 9 / 213

= 9

So, Greatest Common Divisor of 306, 675, 756, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 973, 789, 756
• GCD of 478, 814, 417, 503
• GCD of 169, 633, 257, 373
• GCD of 949, 399, 995, 153
• GCD of 336, 253, 851, 951

Given numbers are 306, 675, 756, 213
The greatest common divisor of numbers 306, 675, 756, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 675, 756, 213 is 3.

1. What is the GCD of 306, 675, 756, 213?

GCD of given numbers 306, 675, 756, 213 is 3

2. How to calculate the greatest common divisor of 306, 675, 756, 213?

We can find the highest common divisor of 306, 675, 756, 213 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 306, 675, 756, 213 i.e 3.

3. How can I use the GCD of 306, 675, 756, 213Calculator?

Out the numbers 306, 675, 756, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.