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 17, 150, 421, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 150, 421, 941 is 1
GCD(17, 150, 421, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 150, 421, 941 is 1
GCD(17, 150, 421, 941) = 1
Given Input numbers are 17, 150, 421, 941
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 17, 150, 421, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 150, 421, 941 is 1.
Therefore, GCD of numbers 17, 150, 421, 941 is 1
Given Input Data is 17, 150, 421, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 421 is 421
Prime Factorization of 941 is 941
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(17, 150) = 2550
GCD(17, 150) = ( 17 x 150 ) / 2550
GCD(17, 150) = 2550 / 2550
GCD(17, 150) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 17, 150, 421, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 150, 421, 941?
GCD of 17, 150, 421, 941 is 1
2. Where do I get the detailed procedure to find GCD of 17, 150, 421, 941?
You can find a detailed procedure to find GCD of 17, 150, 421, 941 on our page.
3. How to find GCD of 17, 150, 421, 941 on a calculator?
You can find the GCD of 17, 150, 421, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.