GCD of 660, 675, 275, 468 Calculator

Given Input numbers are 660, 675, 275, 468

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 660, 675, 275, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 675, 275, 468 is 1.

Therefore, GCD of numbers 660, 675, 275, 468 is 1

Given Input Data is 660, 675, 275, 468

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(660, 675) = 29700

GCD(660, 675) = ( 660 x 675 ) / 29700

GCD(660, 675) = 445500 / 29700

GCD(660, 675) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 275

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

LCM(15, 275) = 825

GCD(15, 275) = ( 15 x 275 ) / 825

GCD(15, 275) = 4125 / 825

GCD(15, 275) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 468

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

LCM(5, 468) = 2340

GCD(5, 468) = ( 5 x 468 ) / 2340

GCD(5, 468) = 2340 / 2340

GCD(5, 468) = 1

GCD of 660, 675, 275, 468 is 1

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1. What is the GCD of 660, 675, 275, 468?

GCD of 660, 675, 275, 468 is 1

2. Where do I get the detailed procedure to find GCD of 660, 675, 275, 468?

You can find a detailed procedure to find GCD of 660, 675, 275, 468 on our page.

3. How to find GCD of 660, 675, 275, 468 on a calculator?

You can find the GCD of 660, 675, 275, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.