GCD of 301, 798, 502, 690 Calculator

Given Input numbers are 301, 798, 502, 690

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

Divisors of 301

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

1, 7, 43, 301

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 301, 798, 502, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 798, 502, 690 is 1.

Therefore, GCD of numbers 301, 798, 502, 690 is 1

Given Input Data is 301, 798, 502, 690

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 502 is 2 x 251

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(301, 798) = 34314

GCD(301, 798) = ( 301 x 798 ) / 34314

GCD(301, 798) = 240198 / 34314

GCD(301, 798) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 502

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

LCM(7, 502) = 3514

GCD(7, 502) = ( 7 x 502 ) / 3514

GCD(7, 502) = 3514 / 3514

GCD(7, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 301, 798, 502, 690 is 1

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1. What is the GCD of 301, 798, 502, 690?

GCD of 301, 798, 502, 690 is 1

2. Where do I get the detailed procedure to find GCD of 301, 798, 502, 690?

You can find a detailed procedure to find GCD of 301, 798, 502, 690 on our page.

3. How to find GCD of 301, 798, 502, 690 on a calculator?

You can find the GCD of 301, 798, 502, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.