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, 845, 36, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 845, 36, 545 is 1
GCD(170, 845, 36, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 845, 36, 545 is 1
GCD(170, 845, 36, 545) = 1
Given Input numbers are 170, 845, 36, 545
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 170, 845, 36, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 845, 36, 545 is 1.
Therefore, GCD of numbers 170, 845, 36, 545 is 1
Given Input Data is 170, 845, 36, 545
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 845 is 5 x 13 x 13
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 545 is 5 x 109
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, 845) = 28730
GCD(170, 845) = ( 170 x 845 ) / 28730
GCD(170, 845) = 143650 / 28730
GCD(170, 845) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 36) = 180
GCD(5, 36) = ( 5 x 36 ) / 180
GCD(5, 36) = 180 / 180
GCD(5, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 170, 845, 36, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 845, 36, 545?
GCD of 170, 845, 36, 545 is 1
2. Where do I get the detailed procedure to find GCD of 170, 845, 36, 545?
You can find a detailed procedure to find GCD of 170, 845, 36, 545 on our page.
3. How to find GCD of 170, 845, 36, 545 on a calculator?
You can find the GCD of 170, 845, 36, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.