GCD of 345, 543, 713, 676 Calculator

Given Input numbers are 345, 543, 713, 676

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 345, 543, 713, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 543, 713, 676 is 1.

Therefore, GCD of numbers 345, 543, 713, 676 is 1

Given Input Data is 345, 543, 713, 676

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 543 is 3 x 181

Prime Factorization of 713 is 23 x 31

Prime Factorization of 676 is 2 x 2 x 13 x 13

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, 543) = 62445

GCD(345, 543) = ( 345 x 543 ) / 62445

GCD(345, 543) = 187335 / 62445

GCD(345, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 713

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

LCM(3, 713) = 2139

GCD(3, 713) = ( 3 x 713 ) / 2139

GCD(3, 713) = 2139 / 2139

GCD(3, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 345, 543, 713, 676 is 1

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1. What is the GCD of 345, 543, 713, 676?

GCD of 345, 543, 713, 676 is 1

2. Where do I get the detailed procedure to find GCD of 345, 543, 713, 676?

You can find a detailed procedure to find GCD of 345, 543, 713, 676 on our page.

3. How to find GCD of 345, 543, 713, 676 on a calculator?

You can find the GCD of 345, 543, 713, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.