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 10, 572, 323, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 572, 323, 170 is 1
GCD(10, 572, 323, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 572, 323, 170 is 1
GCD(10, 572, 323, 170) = 1
Given Input numbers are 10, 572, 323, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
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 10, 572, 323, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 572, 323, 170 is 1.
Therefore, GCD of numbers 10, 572, 323, 170 is 1
Given Input Data is 10, 572, 323, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 323 is 17 x 19
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(10, 572) = 2860
GCD(10, 572) = ( 10 x 572 ) / 2860
GCD(10, 572) = 5720 / 2860
GCD(10, 572) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 323) = 646
GCD(2, 323) = ( 2 x 323 ) / 646
GCD(2, 323) = 646 / 646
GCD(2, 323) = 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 10, 572, 323, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 572, 323, 170?
GCD of 10, 572, 323, 170 is 1
2. Where do I get the detailed procedure to find GCD of 10, 572, 323, 170?
You can find a detailed procedure to find GCD of 10, 572, 323, 170 on our page.
3. How to find GCD of 10, 572, 323, 170 on a calculator?
You can find the GCD of 10, 572, 323, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.