GCD of 252, 294, 27, 691 Calculator

Given Input numbers are 252, 294, 27, 691

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 252, 294, 27, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 294, 27, 691 is 1.

Therefore, GCD of numbers 252, 294, 27, 691 is 1

Given Input Data is 252, 294, 27, 691

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 691 is 691

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(252, 294) = 1764

GCD(252, 294) = ( 252 x 294 ) / 1764

GCD(252, 294) = 74088 / 1764

GCD(252, 294) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 27

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

LCM(42, 27) = 378

GCD(42, 27) = ( 42 x 27 ) / 378

GCD(42, 27) = 1134 / 378

GCD(42, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 691

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

LCM(3, 691) = 2073

GCD(3, 691) = ( 3 x 691 ) / 2073

GCD(3, 691) = 2073 / 2073

GCD(3, 691) = 1

GCD of 252, 294, 27, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 479, 86, 417
• GCD of 837, 886, 65, 376
• GCD of 829, 440, 64, 612
• GCD of 483, 797, 54, 297
• GCD of 669, 571, 63, 255

1. What is the GCD of 252, 294, 27, 691?

GCD of 252, 294, 27, 691 is 1

2. Where do I get the detailed procedure to find GCD of 252, 294, 27, 691?

You can find a detailed procedure to find GCD of 252, 294, 27, 691 on our page.

3. How to find GCD of 252, 294, 27, 691 on a calculator?

You can find the GCD of 252, 294, 27, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.