GCD of 132, 612, 774, 814 Calculator

Given Input numbers are 132, 612, 774, 814

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (132, 612, 774, 814) = 2.

Given numbers are 132, 612, 774, 814

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 132, 612, 774, 814 is 2.

Given numbers are 132, 612, 774, 814

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

Apply this formula for all numbers.

Step1:

LCM(132, 612) = 6732

GCD(132, 612) = ( 132 x 612 ) / 6732

= 132 / 612

= 132

Step2:

LCM(12, 774) = 1548

GCD(12, 774) = ( 12 x 774 ) / 1548

= 12 / 774

= 12

Step3:

LCM(6, 814) = 2442

GCD(6, 814) = ( 6 x 814 ) / 2442

= 6 / 814

= 6

So, Greatest Common Divisor of 132, 612, 774, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 740, 766, 846
• GCD of 267, 294, 962, 390
• GCD of 207, 498, 257, 193
• GCD of 747, 135, 655, 229
• GCD of 215, 103, 655, 487

Given numbers are 132, 612, 774, 814
The greatest common divisor of numbers 132, 612, 774, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 612, 774, 814 is 2.

1. What is the GCD of 132, 612, 774, 814?

GCD of given numbers 132, 612, 774, 814 is 2

2. How to calculate the greatest common divisor of 132, 612, 774, 814?

We can find the highest common divisor of 132, 612, 774, 814 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, 612, 774, 814 i.e 2.

3. How can I use the GCD of 132, 612, 774, 814Calculator?

Out the numbers 132, 612, 774, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.