GCD of 306, 846, 234, 364 Calculator

Given Input numbers are 306, 846, 234, 364

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (306, 846, 234, 364) = 2.

Given numbers are 306, 846, 234, 364

The list of prime factors of all numbers are

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

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 306, 846, 234, 364 is 2.

Given numbers are 306, 846, 234, 364

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

Apply this formula for all numbers.

Step1:

LCM(306, 846) = 14382

GCD(306, 846) = ( 306 x 846 ) / 14382

= 306 / 846

= 306

Step2:

LCM(18, 234) = 234

GCD(18, 234) = ( 18 x 234 ) / 234

= 18 / 234

= 18

Step3:

LCM(18, 364) = 3276

GCD(18, 364) = ( 18 x 364 ) / 3276

= 18 / 364

= 18

So, Greatest Common Divisor of 306, 846, 234, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 663, 672, 532
• GCD of 732, 689, 378, 721
• GCD of 671, 820, 723, 372
• GCD of 302, 767, 939, 854
• GCD of 234, 118, 230, 734

Given numbers are 306, 846, 234, 364
The greatest common divisor of numbers 306, 846, 234, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 846, 234, 364 is 2.

1. What is the GCD of 306, 846, 234, 364?

GCD of given numbers 306, 846, 234, 364 is 2

2. How to calculate the greatest common divisor of 306, 846, 234, 364?

We can find the highest common divisor of 306, 846, 234, 364 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, 846, 234, 364 i.e 2.

3. How can I use the GCD of 306, 846, 234, 364Calculator?

Out the numbers 306, 846, 234, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.