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 150, 410, 871, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 410, 871, 383 is 1
GCD(150, 410, 871, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 410, 871, 383 is 1
GCD(150, 410, 871, 383) = 1
Given Input numbers are 150, 410, 871, 383
To find the GCD of numbers using factoring list out all the divisors of each number
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 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 150, 410, 871, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 410, 871, 383 is 1.
Therefore, GCD of numbers 150, 410, 871, 383 is 1
Given Input Data is 150, 410, 871, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 871 is 13 x 67
Prime Factorization of 383 is 383
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(150, 410) = 6150
GCD(150, 410) = ( 150 x 410 ) / 6150
GCD(150, 410) = 61500 / 6150
GCD(150, 410) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 871) = 8710
GCD(10, 871) = ( 10 x 871 ) / 8710
GCD(10, 871) = 8710 / 8710
GCD(10, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 150, 410, 871, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 410, 871, 383?
GCD of 150, 410, 871, 383 is 1
2. Where do I get the detailed procedure to find GCD of 150, 410, 871, 383?
You can find a detailed procedure to find GCD of 150, 410, 871, 383 on our page.
3. How to find GCD of 150, 410, 871, 383 on a calculator?
You can find the GCD of 150, 410, 871, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.