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 159, 411, 26, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 411, 26, 986 is 1
GCD(159, 411, 26, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 411, 26, 986 is 1
GCD(159, 411, 26, 986) = 1
Given Input numbers are 159, 411, 26, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 159, 411, 26, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 411, 26, 986 is 1.
Therefore, GCD of numbers 159, 411, 26, 986 is 1
Given Input Data is 159, 411, 26, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 411 is 3 x 137
Prime Factorization of 26 is 2 x 13
Prime Factorization of 986 is 2 x 17 x 29
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(159, 411) = 21783
GCD(159, 411) = ( 159 x 411 ) / 21783
GCD(159, 411) = 65349 / 21783
GCD(159, 411) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 26) = 78
GCD(3, 26) = ( 3 x 26 ) / 78
GCD(3, 26) = 78 / 78
GCD(3, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 159, 411, 26, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 411, 26, 986?
GCD of 159, 411, 26, 986 is 1
2. Where do I get the detailed procedure to find GCD of 159, 411, 26, 986?
You can find a detailed procedure to find GCD of 159, 411, 26, 986 on our page.
3. How to find GCD of 159, 411, 26, 986 on a calculator?
You can find the GCD of 159, 411, 26, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.