GCD of 654, 227, 30, 690 Calculator

Given Input numbers are 654, 227, 30, 690

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 654, 227, 30, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 227, 30, 690 is 1.

Therefore, GCD of numbers 654, 227, 30, 690 is 1

Given Input Data is 654, 227, 30, 690

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 227 is 227

Prime Factorization of 30 is 2 x 3 x 5

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

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(654, 227) = 148458

GCD(654, 227) = ( 654 x 227 ) / 148458

GCD(654, 227) = 148458 / 148458

GCD(654, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 654, 227, 30, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 862, 74, 166
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• GCD of 343, 701, 57, 295
• GCD of 883, 103, 96, 591

1. What is the GCD of 654, 227, 30, 690?

GCD of 654, 227, 30, 690 is 1

2. Where do I get the detailed procedure to find GCD of 654, 227, 30, 690?

You can find a detailed procedure to find GCD of 654, 227, 30, 690 on our page.

3. How to find GCD of 654, 227, 30, 690 on a calculator?

You can find the GCD of 654, 227, 30, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.