GCD of 345, 674, 518, 793 Calculator

Given Input numbers are 345, 674, 518, 793

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 345, 674, 518, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 674, 518, 793 is 1.

Therefore, GCD of numbers 345, 674, 518, 793 is 1

Given Input Data is 345, 674, 518, 793

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 674 is 2 x 337

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 793 is 13 x 61

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(345, 674) = 232530

GCD(345, 674) = ( 345 x 674 ) / 232530

GCD(345, 674) = 232530 / 232530

GCD(345, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 345, 674, 518, 793 is 1

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1. What is the GCD of 345, 674, 518, 793?

GCD of 345, 674, 518, 793 is 1

2. Where do I get the detailed procedure to find GCD of 345, 674, 518, 793?

You can find a detailed procedure to find GCD of 345, 674, 518, 793 on our page.

3. How to find GCD of 345, 674, 518, 793 on a calculator?

You can find the GCD of 345, 674, 518, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.