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 990, 953, 152, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 953, 152, 211 is 1
GCD(990, 953, 152, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 953, 152, 211 is 1
GCD(990, 953, 152, 211) = 1
Given Input numbers are 990, 953, 152, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 990, 953, 152, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 953, 152, 211 is 1.
Therefore, GCD of numbers 990, 953, 152, 211 is 1
Given Input Data is 990, 953, 152, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 953 is 953
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 211 is 211
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(990, 953) = 943470
GCD(990, 953) = ( 990 x 953 ) / 943470
GCD(990, 953) = 943470 / 943470
GCD(990, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 990, 953, 152, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 953, 152, 211?
GCD of 990, 953, 152, 211 is 1
2. Where do I get the detailed procedure to find GCD of 990, 953, 152, 211?
You can find a detailed procedure to find GCD of 990, 953, 152, 211 on our page.
3. How to find GCD of 990, 953, 152, 211 on a calculator?
You can find the GCD of 990, 953, 152, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.