GCD of 627, 675, 771, 723 Calculator

Given Input numbers are 627, 675, 771, 723

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 627, 675, 771, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 675, 771, 723 is 3.

Therefore, GCD of numbers 627, 675, 771, 723 is 3

Given Input Data is 627, 675, 771, 723

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 771 is 3 x 257

Prime Factorization of 723 is 3 x 241

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(627, 675) = 141075

GCD(627, 675) = ( 627 x 675 ) / 141075

GCD(627, 675) = 423225 / 141075

GCD(627, 675) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 771

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

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

GCD(3, 771) = 2313 / 771

GCD(3, 771) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 723

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

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

GCD(3, 723) = 2169 / 723

GCD(3, 723) = 3

GCD of 627, 675, 771, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 398, 328, 964
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• GCD of 927, 373, 832, 467

1. What is the GCD of 627, 675, 771, 723?

GCD of 627, 675, 771, 723 is 3

2. Where do I get the detailed procedure to find GCD of 627, 675, 771, 723?

You can find a detailed procedure to find GCD of 627, 675, 771, 723 on our page.

3. How to find GCD of 627, 675, 771, 723 on a calculator?

You can find the GCD of 627, 675, 771, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.