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 83, 288, 150, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 288, 150, 391 is 1
GCD(83, 288, 150, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 288, 150, 391 is 1
GCD(83, 288, 150, 391) = 1
Given Input numbers are 83, 288, 150, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 83, 288, 150, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 288, 150, 391 is 1.
Therefore, GCD of numbers 83, 288, 150, 391 is 1
Given Input Data is 83, 288, 150, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 391 is 17 x 23
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(83, 288) = 23904
GCD(83, 288) = ( 83 x 288 ) / 23904
GCD(83, 288) = 23904 / 23904
GCD(83, 288) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 83, 288, 150, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 288, 150, 391?
GCD of 83, 288, 150, 391 is 1
2. Where do I get the detailed procedure to find GCD of 83, 288, 150, 391?
You can find a detailed procedure to find GCD of 83, 288, 150, 391 on our page.
3. How to find GCD of 83, 288, 150, 391 on a calculator?
You can find the GCD of 83, 288, 150, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.