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 815, 332, 138, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 332, 138, 643 is 1
GCD(815, 332, 138, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 332, 138, 643 is 1
GCD(815, 332, 138, 643) = 1
Given Input numbers are 815, 332, 138, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
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 815, 332, 138, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 332, 138, 643 is 1.
Therefore, GCD of numbers 815, 332, 138, 643 is 1
Given Input Data is 815, 332, 138, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 138 is 2 x 3 x 23
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(815, 332) = 270580
GCD(815, 332) = ( 815 x 332 ) / 270580
GCD(815, 332) = 270580 / 270580
GCD(815, 332) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 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 815, 332, 138, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 332, 138, 643?
GCD of 815, 332, 138, 643 is 1
2. Where do I get the detailed procedure to find GCD of 815, 332, 138, 643?
You can find a detailed procedure to find GCD of 815, 332, 138, 643 on our page.
3. How to find GCD of 815, 332, 138, 643 on a calculator?
You can find the GCD of 815, 332, 138, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.