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, 927, 178, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 927, 178, 643 is 1
GCD(150, 927, 178, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 927, 178, 643 is 1
GCD(150, 927, 178, 643) = 1
Given Input numbers are 150, 927, 178, 643
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 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 150, 927, 178, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 927, 178, 643 is 1.
Therefore, GCD of numbers 150, 927, 178, 643 is 1
Given Input Data is 150, 927, 178, 643
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 927 is 3 x 3 x 103
Prime Factorization of 178 is 2 x 89
Prime Factorization of 643 is 643
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, 927) = 46350
GCD(150, 927) = ( 150 x 927 ) / 46350
GCD(150, 927) = 139050 / 46350
GCD(150, 927) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 178) = 534
GCD(3, 178) = ( 3 x 178 ) / 534
GCD(3, 178) = 534 / 534
GCD(3, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 150, 927, 178, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 927, 178, 643?
GCD of 150, 927, 178, 643 is 1
2. Where do I get the detailed procedure to find GCD of 150, 927, 178, 643?
You can find a detailed procedure to find GCD of 150, 927, 178, 643 on our page.
3. How to find GCD of 150, 927, 178, 643 on a calculator?
You can find the GCD of 150, 927, 178, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.