GCD of 753, 549, 855, 774 Calculator

Given Input numbers are 753, 549, 855, 774

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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 753, 549, 855, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 549, 855, 774 is 3.

Therefore, GCD of numbers 753, 549, 855, 774 is 3

Given Input Data is 753, 549, 855, 774

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(753, 549) = 137799

GCD(753, 549) = ( 753 x 549 ) / 137799

GCD(753, 549) = 413397 / 137799

GCD(753, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 855

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

LCM(3, 855) = 855

GCD(3, 855) = ( 3 x 855 ) / 855

GCD(3, 855) = 2565 / 855

GCD(3, 855) = 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 753, 549, 855, 774 is 3

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1. What is the GCD of 753, 549, 855, 774?

GCD of 753, 549, 855, 774 is 3

2. Where do I get the detailed procedure to find GCD of 753, 549, 855, 774?

You can find a detailed procedure to find GCD of 753, 549, 855, 774 on our page.

3. How to find GCD of 753, 549, 855, 774 on a calculator?

You can find the GCD of 753, 549, 855, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.