GCD of 231, 690, 547, 550 Calculator

Given Input numbers are 231, 690, 547, 550

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

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 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 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 231, 690, 547, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 690, 547, 550 is 1.

Therefore, GCD of numbers 231, 690, 547, 550 is 1

Given Input Data is 231, 690, 547, 550

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

Prime Factorization of 231 is 3 x 7 x 11

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

Prime Factorization of 547 is 547

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(231, 690) = 53130

GCD(231, 690) = ( 231 x 690 ) / 53130

GCD(231, 690) = 159390 / 53130

GCD(231, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 547

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

LCM(3, 547) = 1641

GCD(3, 547) = ( 3 x 547 ) / 1641

GCD(3, 547) = 1641 / 1641

GCD(3, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 231, 690, 547, 550 is 1

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1. What is the GCD of 231, 690, 547, 550?

GCD of 231, 690, 547, 550 is 1

2. Where do I get the detailed procedure to find GCD of 231, 690, 547, 550?

You can find a detailed procedure to find GCD of 231, 690, 547, 550 on our page.

3. How to find GCD of 231, 690, 547, 550 on a calculator?

You can find the GCD of 231, 690, 547, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.