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 857, 990, 313, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 857, 990, 313, 132 is 1
GCD(857, 990, 313, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 857, 990, 313, 132 is 1
GCD(857, 990, 313, 132) = 1
Given Input numbers are 857, 990, 313, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
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 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 857, 990, 313, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 990, 313, 132 is 1.
Therefore, GCD of numbers 857, 990, 313, 132 is 1
Given Input Data is 857, 990, 313, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 857 is 857
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 313 is 313
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(857, 990) = 848430
GCD(857, 990) = ( 857 x 990 ) / 848430
GCD(857, 990) = 848430 / 848430
GCD(857, 990) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 857, 990, 313, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 857, 990, 313, 132?
GCD of 857, 990, 313, 132 is 1
2. Where do I get the detailed procedure to find GCD of 857, 990, 313, 132?
You can find a detailed procedure to find GCD of 857, 990, 313, 132 on our page.
3. How to find GCD of 857, 990, 313, 132 on a calculator?
You can find the GCD of 857, 990, 313, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.