GCD of 414, 403, 44, 963 Calculator

Given Input numbers are 414, 403, 44, 963

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 414, 403, 44, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 403, 44, 963 is 1.

Therefore, GCD of numbers 414, 403, 44, 963 is 1

Given Input Data is 414, 403, 44, 963

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 403 is 13 x 31

Prime Factorization of 44 is 2 x 2 x 11

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(414, 403) = 166842

GCD(414, 403) = ( 414 x 403 ) / 166842

GCD(414, 403) = 166842 / 166842

GCD(414, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 414, 403, 44, 963 is 1

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• GCD of 229, 557, 72, 248
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1. What is the GCD of 414, 403, 44, 963?

GCD of 414, 403, 44, 963 is 1

2. Where do I get the detailed procedure to find GCD of 414, 403, 44, 963?

You can find a detailed procedure to find GCD of 414, 403, 44, 963 on our page.

3. How to find GCD of 414, 403, 44, 963 on a calculator?

You can find the GCD of 414, 403, 44, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.