GCD of 396, 976, 738, 440 Calculator

Given Input numbers are 396, 976, 738, 440

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 396, 976, 738, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 976, 738, 440 is 2.

Therefore, GCD of numbers 396, 976, 738, 440 is 2

Given Input Data is 396, 976, 738, 440

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 976) = 96624

GCD(396, 976) = ( 396 x 976 ) / 96624

GCD(396, 976) = 386496 / 96624

GCD(396, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 738

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

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

GCD(4, 738) = 2952 / 1476

GCD(4, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 396, 976, 738, 440 is 2

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• GCD of 308, 453, 688, 145
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• GCD of 941, 891, 343, 997

1. What is the GCD of 396, 976, 738, 440?

GCD of 396, 976, 738, 440 is 2

2. Where do I get the detailed procedure to find GCD of 396, 976, 738, 440?

You can find a detailed procedure to find GCD of 396, 976, 738, 440 on our page.

3. How to find GCD of 396, 976, 738, 440 on a calculator?

You can find the GCD of 396, 976, 738, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.