GCD of 396, 960, 52, 972 Calculator

Given Input numbers are 396, 960, 52, 972

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Greatest Common Divisior

We found the divisors of 396, 960, 52, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 960, 52, 972 is 4.

Therefore, GCD of numbers 396, 960, 52, 972 is 4

Given Input Data is 396, 960, 52, 972

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

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

LCM(396, 960) = 31680

GCD(396, 960) = ( 396 x 960 ) / 31680

GCD(396, 960) = 380160 / 31680

GCD(396, 960) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 52

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

LCM(12, 52) = 156

GCD(12, 52) = ( 12 x 52 ) / 156

GCD(12, 52) = 624 / 156

GCD(12, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 972

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

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

GCD(4, 972) = 3888 / 972

GCD(4, 972) = 4

GCD of 396, 960, 52, 972 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 835, 65, 377
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• GCD of 524, 553, 25, 940

1. What is the GCD of 396, 960, 52, 972?

GCD of 396, 960, 52, 972 is 4

2. Where do I get the detailed procedure to find GCD of 396, 960, 52, 972?

You can find a detailed procedure to find GCD of 396, 960, 52, 972 on our page.

3. How to find GCD of 396, 960, 52, 972 on a calculator?

You can find the GCD of 396, 960, 52, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.