GCD of 354, 656, 39, 697 Calculator

Given Input numbers are 354, 656, 39, 697

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 354, 656, 39, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 656, 39, 697 is 1.

Therefore, GCD of numbers 354, 656, 39, 697 is 1

Given Input Data is 354, 656, 39, 697

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

Prime Factorization of 354 is 2 x 3 x 59

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 697 is 17 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(354, 656) = 116112

GCD(354, 656) = ( 354 x 656 ) / 116112

GCD(354, 656) = 232224 / 116112

GCD(354, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 354, 656, 39, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 365, 54, 652
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• GCD of 914, 134, 65, 398
• GCD of 667, 690, 39, 879

1. What is the GCD of 354, 656, 39, 697?

GCD of 354, 656, 39, 697 is 1

2. Where do I get the detailed procedure to find GCD of 354, 656, 39, 697?

You can find a detailed procedure to find GCD of 354, 656, 39, 697 on our page.

3. How to find GCD of 354, 656, 39, 697 on a calculator?

You can find the GCD of 354, 656, 39, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.