GCD of 353, 814, 497, 639 Calculator

Given Input numbers are 353, 814, 497, 639

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 353, 814, 497, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 814, 497, 639 is 1.

Therefore, GCD of numbers 353, 814, 497, 639 is 1

Given Input Data is 353, 814, 497, 639

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

Prime Factorization of 353 is 353

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 497 is 7 x 71

Prime Factorization of 639 is 3 x 3 x 71

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, 814) = 287342

GCD(353, 814) = ( 353 x 814 ) / 287342

GCD(353, 814) = 287342 / 287342

GCD(353, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 353, 814, 497, 639 is 1

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1. What is the GCD of 353, 814, 497, 639?

GCD of 353, 814, 497, 639 is 1

2. Where do I get the detailed procedure to find GCD of 353, 814, 497, 639?

You can find a detailed procedure to find GCD of 353, 814, 497, 639 on our page.

3. How to find GCD of 353, 814, 497, 639 on a calculator?

You can find the GCD of 353, 814, 497, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.