GCD of 132, 972, 720, 816 Calculator

Given Input numbers are 132, 972, 720, 816

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 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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (132, 972, 720, 816) = 12.

Given numbers are 132, 972, 720, 816

The list of prime factors of all numbers are

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

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2² x 3¹

Therefore, GCD of 132, 972, 720, 816 is 12.

Given numbers are 132, 972, 720, 816

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

Apply this formula for all numbers.

Step1:

LCM(132, 972) = 10692

GCD(132, 972) = ( 132 x 972 ) / 10692

= 132 / 972

= 132

Step2:

LCM(12, 720) = 720

GCD(12, 720) = ( 12 x 720 ) / 720

= 12 / 720

= 12

Step3:

LCM(12, 816) = 816

GCD(12, 816) = ( 12 x 816 ) / 816

= 12 / 816

= 12

So, Greatest Common Divisor of 132, 972, 720, 816 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 236, 576, 317
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• GCD of 993, 928, 515, 839

Given numbers are 132, 972, 720, 816
The greatest common divisor of numbers 132, 972, 720, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 972, 720, 816 is 12.

1. What is the GCD of 132, 972, 720, 816?

GCD of given numbers 132, 972, 720, 816 is 12

2. How to calculate the greatest common divisor of 132, 972, 720, 816?

We can find the highest common divisor of 132, 972, 720, 816 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, 972, 720, 816 i.e 12.

3. How can I use the GCD of 132, 972, 720, 816Calculator?

Out the numbers 132, 972, 720, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.