GCD of 132, 996, 789, 726 Calculator

Given Input numbers are 132, 996, 789, 726

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 (132, 996, 789, 726) = 3.

Given numbers are 132, 996, 789, 726

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 789 are 3 x 263

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

The highest common occurrence is 3¹

Therefore, GCD of 132, 996, 789, 726 is 3.

Given numbers are 132, 996, 789, 726

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

Apply this formula for all numbers.

Step1:

LCM(132, 996) = 10956

GCD(132, 996) = ( 132 x 996 ) / 10956

= 132 / 996

= 132

Step2:

LCM(12, 789) = 3156

GCD(12, 789) = ( 12 x 789 ) / 3156

= 12 / 789

= 12

Step3:

LCM(3, 726) = 726

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

= 3 / 726

= 3

So, Greatest Common Divisor of 132, 996, 789, 726 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 331, 325, 474
• GCD of 279, 933, 973, 945
• GCD of 165, 820, 958, 292
• GCD of 559, 637, 758, 519
• GCD of 162, 717, 705, 130

Given numbers are 132, 996, 789, 726
The greatest common divisor of numbers 132, 996, 789, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 996, 789, 726 is 3.

1. What is the GCD of 132, 996, 789, 726?

GCD of given numbers 132, 996, 789, 726 is 3

2. How to calculate the greatest common divisor of 132, 996, 789, 726?

We can find the highest common divisor of 132, 996, 789, 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 132, 996, 789, 726 i.e 3.

3. How can I use the GCD of 132, 996, 789, 726Calculator?

Out the numbers 132, 996, 789, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.