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 21, 615, 794, 732 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 615, 794, 732 is 1
GCD(21, 615, 794, 732) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 615, 794, 732 is 1
GCD(21, 615, 794, 732) = 1
Given Input numbers are 21, 615, 794, 732
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Greatest Common Divisior
We found the divisors of 21, 615, 794, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 615, 794, 732 is 1.
Therefore, GCD of numbers 21, 615, 794, 732 is 1
Given Input Data is 21, 615, 794, 732
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 794 is 2 x 397
Prime Factorization of 732 is 2 x 2 x 3 x 61
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(21, 615) = 4305
GCD(21, 615) = ( 21 x 615 ) / 4305
GCD(21, 615) = 12915 / 4305
GCD(21, 615) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 794) = 2382
GCD(3, 794) = ( 3 x 794 ) / 2382
GCD(3, 794) = 2382 / 2382
GCD(3, 794) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 732) = 732
GCD(1, 732) = ( 1 x 732 ) / 732
GCD(1, 732) = 732 / 732
GCD(1, 732) = 1
GCD of 21, 615, 794, 732 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 615, 794, 732?
GCD of 21, 615, 794, 732 is 1
2. Where do I get the detailed procedure to find GCD of 21, 615, 794, 732?
You can find a detailed procedure to find GCD of 21, 615, 794, 732 on our page.
3. How to find GCD of 21, 615, 794, 732 on a calculator?
You can find the GCD of 21, 615, 794, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.