GCD of 795, 514, 59, 690 Calculator

Given Input numbers are 795, 514, 59, 690

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 795, 514, 59, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 514, 59, 690 is 1.

Therefore, GCD of numbers 795, 514, 59, 690 is 1

Given Input Data is 795, 514, 59, 690

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 514 is 2 x 257

Prime Factorization of 59 is 59

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(795, 514) = 408630

GCD(795, 514) = ( 795 x 514 ) / 408630

GCD(795, 514) = 408630 / 408630

GCD(795, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 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 795, 514, 59, 690 is 1

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1. What is the GCD of 795, 514, 59, 690?

GCD of 795, 514, 59, 690 is 1

2. Where do I get the detailed procedure to find GCD of 795, 514, 59, 690?

You can find a detailed procedure to find GCD of 795, 514, 59, 690 on our page.

3. How to find GCD of 795, 514, 59, 690 on a calculator?

You can find the GCD of 795, 514, 59, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.