GCD of 936, 648, 168, 306 Calculator

Given Input numbers are 936, 648, 168, 306

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

GCD of numbers is the greatest common divisor

So, the GCD (936, 648, 168, 306) = 6.

Given numbers are 936, 648, 168, 306

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 936, 648, 168, 306 is 6.

Given numbers are 936, 648, 168, 306

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

Apply this formula for all numbers.

Step1:

LCM(936, 648) = 8424

GCD(936, 648) = ( 936 x 648 ) / 8424

= 936 / 648

= 936

Step2:

LCM(72, 168) = 504

GCD(72, 168) = ( 72 x 168 ) / 504

= 72 / 168

= 72

Step3:

LCM(24, 306) = 1224

GCD(24, 306) = ( 24 x 306 ) / 1224

= 24 / 306

= 24

So, Greatest Common Divisor of 936, 648, 168, 306 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 841, 790, 742
• GCD of 973, 582, 219, 958
• GCD of 594, 113, 768, 571
• GCD of 228, 735, 163, 395
• GCD of 952, 299, 189, 713

Given numbers are 936, 648, 168, 306
The greatest common divisor of numbers 936, 648, 168, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 648, 168, 306 is 6.

1. What is the GCD of 936, 648, 168, 306?

GCD of given numbers 936, 648, 168, 306 is 6

2. How to calculate the greatest common divisor of 936, 648, 168, 306?

We can find the highest common divisor of 936, 648, 168, 306 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 936, 648, 168, 306 i.e 6.

3. How can I use the GCD of 936, 648, 168, 306Calculator?

Out the numbers 936, 648, 168, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.