GCD of 51, 344, 402, 963 Calculator

Given Input numbers are 51, 344, 402, 963

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 51, 344, 402, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 344, 402, 963 is 1.

Therefore, GCD of numbers 51, 344, 402, 963 is 1

Given Input Data is 51, 344, 402, 963

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 402 is 2 x 3 x 67

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(51, 344) = 17544

GCD(51, 344) = ( 51 x 344 ) / 17544

GCD(51, 344) = 17544 / 17544

GCD(51, 344) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 51, 344, 402, 963 is 1

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1. What is the GCD of 51, 344, 402, 963?

GCD of 51, 344, 402, 963 is 1

2. Where do I get the detailed procedure to find GCD of 51, 344, 402, 963?

You can find a detailed procedure to find GCD of 51, 344, 402, 963 on our page.

3. How to find GCD of 51, 344, 402, 963 on a calculator?

You can find the GCD of 51, 344, 402, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.