GCD of 633, 288, 51, 978 Calculator

Given Input numbers are 633, 288, 51, 978

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 51

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

1, 3, 17, 51

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 633, 288, 51, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 288, 51, 978 is 3.

Therefore, GCD of numbers 633, 288, 51, 978 is 3

Given Input Data is 633, 288, 51, 978

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 51 is 3 x 17

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(633, 288) = 60768

GCD(633, 288) = ( 633 x 288 ) / 60768

GCD(633, 288) = 182304 / 60768

GCD(633, 288) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 978

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

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

GCD(3, 978) = 2934 / 978

GCD(3, 978) = 3

GCD of 633, 288, 51, 978 is 3

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1. What is the GCD of 633, 288, 51, 978?

GCD of 633, 288, 51, 978 is 3

2. Where do I get the detailed procedure to find GCD of 633, 288, 51, 978?

You can find a detailed procedure to find GCD of 633, 288, 51, 978 on our page.

3. How to find GCD of 633, 288, 51, 978 on a calculator?

You can find the GCD of 633, 288, 51, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.