GCD of 648, 154, 30, 963 Calculator

Given Input numbers are 648, 154, 30, 963

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 648, 154, 30, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 154, 30, 963 is 1.

Therefore, GCD of numbers 648, 154, 30, 963 is 1

Given Input Data is 648, 154, 30, 963

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 30 is 2 x 3 x 5

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(648, 154) = 49896

GCD(648, 154) = ( 648 x 154 ) / 49896

GCD(648, 154) = 99792 / 49896

GCD(648, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 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 648, 154, 30, 963 is 1

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1. What is the GCD of 648, 154, 30, 963?

GCD of 648, 154, 30, 963 is 1

2. Where do I get the detailed procedure to find GCD of 648, 154, 30, 963?

You can find a detailed procedure to find GCD of 648, 154, 30, 963 on our page.

3. How to find GCD of 648, 154, 30, 963 on a calculator?

You can find the GCD of 648, 154, 30, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.