GCD of 847, 514, 345, 626 Calculator

Given Input numbers are 847, 514, 345, 626

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 514

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

1, 2, 257, 514

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 847, 514, 345, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 514, 345, 626 is 1.

Therefore, GCD of numbers 847, 514, 345, 626 is 1

Given Input Data is 847, 514, 345, 626

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 514 is 2 x 257

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 626 is 2 x 313

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(847, 514) = 435358

GCD(847, 514) = ( 847 x 514 ) / 435358

GCD(847, 514) = 435358 / 435358

GCD(847, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 847, 514, 345, 626 is 1

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1. What is the GCD of 847, 514, 345, 626?

GCD of 847, 514, 345, 626 is 1

2. Where do I get the detailed procedure to find GCD of 847, 514, 345, 626?

You can find a detailed procedure to find GCD of 847, 514, 345, 626 on our page.

3. How to find GCD of 847, 514, 345, 626 on a calculator?

You can find the GCD of 847, 514, 345, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.