GCD of 353, 369, 66, 656 Calculator

Given Input numbers are 353, 369, 66, 656

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 353, 369, 66, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 369, 66, 656 is 1.

Therefore, GCD of numbers 353, 369, 66, 656 is 1

Given Input Data is 353, 369, 66, 656

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

Prime Factorization of 353 is 353

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 66 is 2 x 3 x 11

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(353, 369) = 130257

GCD(353, 369) = ( 353 x 369 ) / 130257

GCD(353, 369) = 130257 / 130257

GCD(353, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 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 353, 369, 66, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 304, 32, 354
• GCD of 831, 894, 72, 759
• GCD of 518, 498, 32, 209
• GCD of 680, 837, 90, 769
• GCD of 570, 339, 36, 112

1. What is the GCD of 353, 369, 66, 656?

GCD of 353, 369, 66, 656 is 1

2. Where do I get the detailed procedure to find GCD of 353, 369, 66, 656?

You can find a detailed procedure to find GCD of 353, 369, 66, 656 on our page.

3. How to find GCD of 353, 369, 66, 656 on a calculator?

You can find the GCD of 353, 369, 66, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.