GCD of 459, 690, 178, 656 Calculator

Given Input numbers are 459, 690, 178, 656

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 459, 690, 178, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 690, 178, 656 is 1.

Therefore, GCD of numbers 459, 690, 178, 656 is 1

Given Input Data is 459, 690, 178, 656

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(459, 690) = 105570

GCD(459, 690) = ( 459 x 690 ) / 105570

GCD(459, 690) = 316710 / 105570

GCD(459, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 178

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

LCM(3, 178) = 534

GCD(3, 178) = ( 3 x 178 ) / 534

GCD(3, 178) = 534 / 534

GCD(3, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 459, 690, 178, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 844, 218, 961
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• GCD of 546, 892, 806, 451
• GCD of 173, 958, 469, 513

1. What is the GCD of 459, 690, 178, 656?

GCD of 459, 690, 178, 656 is 1

2. Where do I get the detailed procedure to find GCD of 459, 690, 178, 656?

You can find a detailed procedure to find GCD of 459, 690, 178, 656 on our page.

3. How to find GCD of 459, 690, 178, 656 on a calculator?

You can find the GCD of 459, 690, 178, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.