GCD of 306, 834, 744, 678 Calculator

Given Input numbers are 306, 834, 744, 678

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 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (306, 834, 744, 678) = 6.

Given numbers are 306, 834, 744, 678

The list of prime factors of all numbers are

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

Prime factors of 834 are 2 x 3 x 139

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 306, 834, 744, 678 is 6.

Given numbers are 306, 834, 744, 678

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

Apply this formula for all numbers.

Step1:

LCM(306, 834) = 42534

GCD(306, 834) = ( 306 x 834 ) / 42534

= 306 / 834

= 306

Step2:

LCM(6, 744) = 744

GCD(6, 744) = ( 6 x 744 ) / 744

= 6 / 744

= 6

Step3:

LCM(6, 678) = 678

GCD(6, 678) = ( 6 x 678 ) / 678

= 6 / 678

= 6

So, Greatest Common Divisor of 306, 834, 744, 678 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 287, 516, 872
• GCD of 239, 501, 796, 696
• GCD of 528, 850, 606, 606
• GCD of 909, 892, 153, 876
• GCD of 675, 494, 736, 382

Given numbers are 306, 834, 744, 678
The greatest common divisor of numbers 306, 834, 744, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 834, 744, 678 is 6.

1. What is the GCD of 306, 834, 744, 678?

GCD of given numbers 306, 834, 744, 678 is 6

2. How to calculate the greatest common divisor of 306, 834, 744, 678?

We can find the highest common divisor of 306, 834, 744, 678 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, 834, 744, 678 i.e 6.

3. How can I use the GCD of 306, 834, 744, 678Calculator?

Out the numbers 306, 834, 744, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.