GCD of 726, 318, 756 Calculator

Given Input numbers are 726, 318, 756

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

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

GCD of numbers is the greatest common divisor

So, the GCD (726, 318, 756) = 6.

Given numbers are 726, 318, 756

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 318 are 2 x 3 x 53

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 726, 318, 756 is 6.

Given numbers are 726, 318, 756

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

Apply this formula for all numbers.

Step1:

LCM(726, 318) = 38478

GCD(726, 318) = ( 726 x 318 ) / 38478

= 726 / 318

= 726

Step2:

LCM(6, 756) = 756

GCD(6, 756) = ( 6 x 756 ) / 756

= 6 / 756

= 6

So, Greatest Common Divisor of 726, 318, 756 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 527, 883
• GCD of 580, 174, 982
• GCD of 240, 918, 357
• GCD of 766, 349, 563
• GCD of 299, 328, 905

Given numbers are 726, 318, 756
The greatest common divisor of numbers 726, 318, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 318, 756 is 6.

1. What is the GCD of 726, 318, 756?

GCD of given numbers 726, 318, 756 is 6

2. How to calculate the greatest common divisor of 726, 318, 756?

We can find the highest common divisor of 726, 318, 756 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 726, 318, 756 i.e 6.

3. How can I use the GCD of 726, 318, 756Calculator?

Out the numbers 726, 318, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.