GCD of 651, 330, 72, 774 Calculator

Given Input numbers are 651, 330, 72, 774

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 651, 330, 72, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 330, 72, 774 is 3.

Therefore, GCD of numbers 651, 330, 72, 774 is 3

Given Input Data is 651, 330, 72, 774

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(651, 330) = 71610

GCD(651, 330) = ( 651 x 330 ) / 71610

GCD(651, 330) = 214830 / 71610

GCD(651, 330) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 774

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

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

GCD(3, 774) = 2322 / 774

GCD(3, 774) = 3

GCD of 651, 330, 72, 774 is 3

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1. What is the GCD of 651, 330, 72, 774?

GCD of 651, 330, 72, 774 is 3

2. Where do I get the detailed procedure to find GCD of 651, 330, 72, 774?

You can find a detailed procedure to find GCD of 651, 330, 72, 774 on our page.

3. How to find GCD of 651, 330, 72, 774 on a calculator?

You can find the GCD of 651, 330, 72, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.