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 986, 967, 38, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 967, 38, 108 is 1
GCD(986, 967, 38, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 967, 38, 108 is 1
GCD(986, 967, 38, 108) = 1
Given Input numbers are 986, 967, 38, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 986, 967, 38, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 967, 38, 108 is 1.
Therefore, GCD of numbers 986, 967, 38, 108 is 1
Given Input Data is 986, 967, 38, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 967 is 967
Prime Factorization of 38 is 2 x 19
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(986, 967) = 953462
GCD(986, 967) = ( 986 x 967 ) / 953462
GCD(986, 967) = 953462 / 953462
GCD(986, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 986, 967, 38, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 967, 38, 108?
GCD of 986, 967, 38, 108 is 1
2. Where do I get the detailed procedure to find GCD of 986, 967, 38, 108?
You can find a detailed procedure to find GCD of 986, 967, 38, 108 on our page.
3. How to find GCD of 986, 967, 38, 108 on a calculator?
You can find the GCD of 986, 967, 38, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.