GCD of 689, 341, 39, 698 Calculator

Given Input numbers are 689, 341, 39, 698

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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 39

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

1, 3, 13, 39

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 689, 341, 39, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 341, 39, 698 is 1.

Therefore, GCD of numbers 689, 341, 39, 698 is 1

Given Input Data is 689, 341, 39, 698

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 341 is 11 x 31

Prime Factorization of 39 is 3 x 13

Prime Factorization of 698 is 2 x 349

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, 341) = 234949

GCD(689, 341) = ( 689 x 341 ) / 234949

GCD(689, 341) = 234949 / 234949

GCD(689, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 689, 341, 39, 698 is 1

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1. What is the GCD of 689, 341, 39, 698?

GCD of 689, 341, 39, 698 is 1

2. Where do I get the detailed procedure to find GCD of 689, 341, 39, 698?

You can find a detailed procedure to find GCD of 689, 341, 39, 698 on our page.

3. How to find GCD of 689, 341, 39, 698 on a calculator?

You can find the GCD of 689, 341, 39, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.