GCD of 696, 310, 595, 643 Calculator

Given Input numbers are 696, 310, 595, 643

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 696, 310, 595, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 310, 595, 643 is 1.

Therefore, GCD of numbers 696, 310, 595, 643 is 1

Given Input Data is 696, 310, 595, 643

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 643 is 643

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(696, 310) = 107880

GCD(696, 310) = ( 696 x 310 ) / 107880

GCD(696, 310) = 215760 / 107880

GCD(696, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 595

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

LCM(2, 595) = 1190

GCD(2, 595) = ( 2 x 595 ) / 1190

GCD(2, 595) = 1190 / 1190

GCD(2, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 696, 310, 595, 643 is 1

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1. What is the GCD of 696, 310, 595, 643?

GCD of 696, 310, 595, 643 is 1

2. Where do I get the detailed procedure to find GCD of 696, 310, 595, 643?

You can find a detailed procedure to find GCD of 696, 310, 595, 643 on our page.

3. How to find GCD of 696, 310, 595, 643 on a calculator?

You can find the GCD of 696, 310, 595, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.