GCD of 368, 406, 914, 963 Calculator

Given Input numbers are 368, 406, 914, 963

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 368, 406, 914, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 406, 914, 963 is 1.

Therefore, GCD of numbers 368, 406, 914, 963 is 1

Given Input Data is 368, 406, 914, 963

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 914 is 2 x 457

Prime Factorization of 963 is 3 x 3 x 107

The above numbers do not have any common prime factor. So GCD is 1

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(368, 406) = 74704

GCD(368, 406) = ( 368 x 406 ) / 74704

GCD(368, 406) = 149408 / 74704

GCD(368, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 914

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

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

GCD(2, 914) = 1828 / 914

GCD(2, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 368, 406, 914, 963 is 1

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1. What is the GCD of 368, 406, 914, 963?

GCD of 368, 406, 914, 963 is 1

2. Where do I get the detailed procedure to find GCD of 368, 406, 914, 963?

You can find a detailed procedure to find GCD of 368, 406, 914, 963 on our page.

3. How to find GCD of 368, 406, 914, 963 on a calculator?

You can find the GCD of 368, 406, 914, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.