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 845, 157, 846, 990 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 157, 846, 990 is 1
GCD(845, 157, 846, 990) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 157, 846, 990 is 1
GCD(845, 157, 846, 990) = 1
Given Input numbers are 845, 157, 846, 990
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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
Greatest Common Divisior
We found the divisors of 845, 157, 846, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 157, 846, 990 is 1.
Therefore, GCD of numbers 845, 157, 846, 990 is 1
Given Input Data is 845, 157, 846, 990
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 157 is 157
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 990 is 2 x 3 x 3 x 5 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(845, 157) = 132665
GCD(845, 157) = ( 845 x 157 ) / 132665
GCD(845, 157) = 132665 / 132665
GCD(845, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
GCD of 845, 157, 846, 990 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 157, 846, 990?
GCD of 845, 157, 846, 990 is 1
2. Where do I get the detailed procedure to find GCD of 845, 157, 846, 990?
You can find a detailed procedure to find GCD of 845, 157, 846, 990 on our page.
3. How to find GCD of 845, 157, 846, 990 on a calculator?
You can find the GCD of 845, 157, 846, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.