GCD of 689, 506, 301 Calculator

Given Input numbers are 689, 506, 301

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 689, 506, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 506, 301 is 1.

Therefore, GCD of numbers 689, 506, 301 is 1

Given Input Data is 689, 506, 301

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 301 is 7 x 43

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, 506) = 348634

GCD(689, 506) = ( 689 x 506 ) / 348634

GCD(689, 506) = 348634 / 348634

GCD(689, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 689, 506, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 289, 885
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• GCD of 206, 924, 737
• GCD of 347, 281, 209
• GCD of 517, 641, 701

1. What is the GCD of 689, 506, 301?

GCD of 689, 506, 301 is 1

2. Where do I get the detailed procedure to find GCD of 689, 506, 301?

You can find a detailed procedure to find GCD of 689, 506, 301 on our page.

3. How to find GCD of 689, 506, 301 on a calculator?

You can find the GCD of 689, 506, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.