GCD of 726, 636, 972 Calculator

Given Input numbers are 726, 636, 972

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 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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (726, 636, 972) = 6.

Given numbers are 726, 636, 972

The list of prime factors of all numbers are

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

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 726, 636, 972 is 6.

Given numbers are 726, 636, 972

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

Apply this formula for all numbers.

Step1:

LCM(726, 636) = 76956

GCD(726, 636) = ( 726 x 636 ) / 76956

= 726 / 636

= 726

Step2:

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

= 6 / 972

= 6

So, Greatest Common Divisor of 726, 636, 972 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 387, 138
• GCD of 101, 962, 378
• GCD of 584, 953, 287
• GCD of 690, 544, 803
• GCD of 350, 927, 364

Given numbers are 726, 636, 972
The greatest common divisor of numbers 726, 636, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 636, 972 is 6.

1. What is the GCD of 726, 636, 972?

GCD of given numbers 726, 636, 972 is 6

2. How to calculate the greatest common divisor of 726, 636, 972?

We can find the highest common divisor of 726, 636, 972 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, 636, 972 i.e 6.

3. How can I use the GCD of 726, 636, 972Calculator?

Out the numbers 726, 636, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.