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, 993, 995, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 993, 995, 851 is 1
GCD(150, 993, 995, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 993, 995, 851 is 1
GCD(150, 993, 995, 851) = 1
Given Input numbers are 150, 993, 995, 851
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 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 150, 993, 995, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 993, 995, 851 is 1.
Therefore, GCD of numbers 150, 993, 995, 851 is 1
Given Input Data is 150, 993, 995, 851
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 993 is 3 x 331
Prime Factorization of 995 is 5 x 199
Prime Factorization of 851 is 23 x 37
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, 993) = 49650
GCD(150, 993) = ( 150 x 993 ) / 49650
GCD(150, 993) = 148950 / 49650
GCD(150, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 995) = 2985
GCD(3, 995) = ( 3 x 995 ) / 2985
GCD(3, 995) = 2985 / 2985
GCD(3, 995) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 150, 993, 995, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 993, 995, 851?
GCD of 150, 993, 995, 851 is 1
2. Where do I get the detailed procedure to find GCD of 150, 993, 995, 851?
You can find a detailed procedure to find GCD of 150, 993, 995, 851 on our page.
3. How to find GCD of 150, 993, 995, 851 on a calculator?
You can find the GCD of 150, 993, 995, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.