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 417, 824, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 417, 824, 150 is 1
GCD(417, 824, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 417, 824, 150 is 1
GCD(417, 824, 150) = 1
Given Input numbers are 417, 824, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
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
Greatest Common Divisior
We found the divisors of 417, 824, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 824, 150 is 1.
Therefore, GCD of numbers 417, 824, 150 is 1
Given Input Data is 417, 824, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 417 is 3 x 139
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(417, 824) = 343608
GCD(417, 824) = ( 417 x 824 ) / 343608
GCD(417, 824) = 343608 / 343608
GCD(417, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 417, 824, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 417, 824, 150?
GCD of 417, 824, 150 is 1
2. Where do I get the detailed procedure to find GCD of 417, 824, 150?
You can find a detailed procedure to find GCD of 417, 824, 150 on our page.
3. How to find GCD of 417, 824, 150 on a calculator?
You can find the GCD of 417, 824, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.