GCD of 991, 959, 39, 170 Calculator

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

GCD of numbers 991, 959, 39, 170 is 1

GCD(991, 959, 39, 170) = 1

GCD of 991,959,39,170 Calculator

GCDof 991,959,39,170 is 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

Finding GCD of 991, 959, 39, 170 using Prime Factorization

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

Finding GCD of 991, 959, 39, 170 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 959, 39, 170

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.