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 170, 359, 869, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 359, 869, 969 is 1
GCD(170, 359, 869, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 359, 869, 969 is 1
GCD(170, 359, 869, 969) = 1
Given Input numbers are 170, 359, 869, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 170, 359, 869, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 359, 869, 969 is 1.
Therefore, GCD of numbers 170, 359, 869, 969 is 1
Given Input Data is 170, 359, 869, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 359 is 359
Prime Factorization of 869 is 11 x 79
Prime Factorization of 969 is 3 x 17 x 19
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(170, 359) = 61030
GCD(170, 359) = ( 170 x 359 ) / 61030
GCD(170, 359) = 61030 / 61030
GCD(170, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 869
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 869) = 869
GCD(1, 869) = ( 1 x 869 ) / 869
GCD(1, 869) = 869 / 869
GCD(1, 869) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 170, 359, 869, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 359, 869, 969?
GCD of 170, 359, 869, 969 is 1
2. Where do I get the detailed procedure to find GCD of 170, 359, 869, 969?
You can find a detailed procedure to find GCD of 170, 359, 869, 969 on our page.
3. How to find GCD of 170, 359, 869, 969 on a calculator?
You can find the GCD of 170, 359, 869, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.