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 641, 638, 83, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 641, 638, 83, 697 is 1
GCD(641, 638, 83, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 641, 638, 83, 697 is 1
GCD(641, 638, 83, 697) = 1
Given Input numbers are 641, 638, 83, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
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 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 641, 638, 83, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 641, 638, 83, 697 is 1.
Therefore, GCD of numbers 641, 638, 83, 697 is 1
Given Input Data is 641, 638, 83, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 641 is 641
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 83 is 83
Prime Factorization of 697 is 17 x 41
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(641, 638) = 408958
GCD(641, 638) = ( 641 x 638 ) / 408958
GCD(641, 638) = 408958 / 408958
GCD(641, 638) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 641, 638, 83, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 641, 638, 83, 697?
GCD of 641, 638, 83, 697 is 1
2. Where do I get the detailed procedure to find GCD of 641, 638, 83, 697?
You can find a detailed procedure to find GCD of 641, 638, 83, 697 on our page.
3. How to find GCD of 641, 638, 83, 697 on a calculator?
You can find the GCD of 641, 638, 83, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.