GCD of 636, 315, 726 Calculator

Given Input numbers are 636, 315, 726

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

GCD of numbers is the greatest common divisor

So, the GCD (636, 315, 726) = 3.

Given numbers are 636, 315, 726

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 315 are 3 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 636, 315, 726 is 3.

Given numbers are 636, 315, 726

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

Apply this formula for all numbers.

Step1:

LCM(636, 315) = 66780

GCD(636, 315) = ( 636 x 315 ) / 66780

= 636 / 315

= 636

Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3

So, Greatest Common Divisor of 636, 315, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 585, 547
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• GCD of 603, 560, 398
• GCD of 486, 649, 624
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Given numbers are 636, 315, 726
The greatest common divisor of numbers 636, 315, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 315, 726 is 3.

1. What is the GCD of 636, 315, 726?

GCD of given numbers 636, 315, 726 is 3

2. How to calculate the greatest common divisor of 636, 315, 726?

We can find the highest common divisor of 636, 315, 726 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 636, 315, 726 i.e 3.

3. How can I use the GCD of 636, 315, 726Calculator?

Out the numbers 636, 315, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.