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 991, 959, 39, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 959, 39, 170 is 1
GCD(991, 959, 39, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 959, 39, 170 is 1
GCD(991, 959, 39, 170) = 1
Given Input numbers are 991, 959, 39, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 991, 959, 39, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 959, 39, 170 is 1.
Therefore, GCD of numbers 991, 959, 39, 170 is 1
Given Input Data is 991, 959, 39, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 959 is 7 x 137
Prime Factorization of 39 is 3 x 13
Prime Factorization of 170 is 2 x 5 x 17
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(991, 959) = 950369
GCD(991, 959) = ( 991 x 959 ) / 950369
GCD(991, 959) = 950369 / 950369
GCD(991, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 991, 959, 39, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 959, 39, 170?
GCD of 991, 959, 39, 170 is 1
2. Where do I get the detailed procedure to find GCD of 991, 959, 39, 170?
You can find a detailed procedure to find GCD of 991, 959, 39, 170 on our page.
3. How to find GCD of 991, 959, 39, 170 on a calculator?
You can find the GCD of 991, 959, 39, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.