Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 643, 638, 702, 710 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 638, 702, 710 is 1
GCD(643, 638, 702, 710) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 638, 702, 710 is 1
GCD(643, 638, 702, 710) = 1
Given Input numbers are 643, 638, 702, 710
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Greatest Common Divisior
We found the divisors of 643, 638, 702, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 638, 702, 710 is 1.
Therefore, GCD of numbers 643, 638, 702, 710 is 1
Given Input Data is 643, 638, 702, 710
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 710 is 2 x 5 x 71
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(643, 638) = 410234
GCD(643, 638) = ( 643 x 638 ) / 410234
GCD(643, 638) = 410234 / 410234
GCD(643, 638) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
GCD of 643, 638, 702, 710 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 638, 702, 710?
GCD of 643, 638, 702, 710 is 1
2. Where do I get the detailed procedure to find GCD of 643, 638, 702, 710?
You can find a detailed procedure to find GCD of 643, 638, 702, 710 on our page.
3. How to find GCD of 643, 638, 702, 710 on a calculator?
You can find the GCD of 643, 638, 702, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.