GCD of 273, 690, 231, 784 Calculator

Given Input numbers are 273, 690, 231, 784

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 273, 690, 231, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 690, 231, 784 is 1.

Therefore, GCD of numbers 273, 690, 231, 784 is 1

Given Input Data is 273, 690, 231, 784

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(273, 690) = 62790

GCD(273, 690) = ( 273 x 690 ) / 62790

GCD(273, 690) = 188370 / 62790

GCD(273, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 784

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

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

GCD(3, 784) = 2352 / 2352

GCD(3, 784) = 1

GCD of 273, 690, 231, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 152, 906, 108
• GCD of 262, 219, 821, 752
• GCD of 331, 617, 427, 203
• GCD of 733, 107, 652, 928
• GCD of 238, 738, 516, 922

1. What is the GCD of 273, 690, 231, 784?

GCD of 273, 690, 231, 784 is 1

2. Where do I get the detailed procedure to find GCD of 273, 690, 231, 784?

You can find a detailed procedure to find GCD of 273, 690, 231, 784 on our page.

3. How to find GCD of 273, 690, 231, 784 on a calculator?

You can find the GCD of 273, 690, 231, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.