GCD of 689, 295, 796, 411 Calculator

Given Input numbers are 689, 295, 796, 411

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 689, 295, 796, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 295, 796, 411 is 1.

Therefore, GCD of numbers 689, 295, 796, 411 is 1

Given Input Data is 689, 295, 796, 411

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 295 is 5 x 59

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 411 is 3 x 137

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(689, 295) = 203255

GCD(689, 295) = ( 689 x 295 ) / 203255

GCD(689, 295) = 203255 / 203255

GCD(689, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 689, 295, 796, 411 is 1

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1. What is the GCD of 689, 295, 796, 411?

GCD of 689, 295, 796, 411 is 1

2. Where do I get the detailed procedure to find GCD of 689, 295, 796, 411?

You can find a detailed procedure to find GCD of 689, 295, 796, 411 on our page.

3. How to find GCD of 689, 295, 796, 411 on a calculator?

You can find the GCD of 689, 295, 796, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.