GCD of 654, 144, 226, 690 Calculator

Given Input numbers are 654, 144, 226, 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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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, 144, 226, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 144, 226, 690 is 2.

Therefore, GCD of numbers 654, 144, 226, 690 is 2

Given Input Data is 654, 144, 226, 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 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 226 is 2 x 113

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 144) = 15696

GCD(654, 144) = ( 654 x 144 ) / 15696

GCD(654, 144) = 94176 / 15696

GCD(654, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 226

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

LCM(6, 226) = 678

GCD(6, 226) = ( 6 x 226 ) / 678

GCD(6, 226) = 1356 / 678

GCD(6, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

GCD of 654, 144, 226, 690 is 2

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1. What is the GCD of 654, 144, 226, 690?

GCD of 654, 144, 226, 690 is 2

2. Where do I get the detailed procedure to find GCD of 654, 144, 226, 690?

You can find a detailed procedure to find GCD of 654, 144, 226, 690 on our page.

3. How to find GCD of 654, 144, 226, 690 on a calculator?

You can find the GCD of 654, 144, 226, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.