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 171, 755, 824, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 755, 824, 833 is 1
GCD(171, 755, 824, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 755, 824, 833 is 1
GCD(171, 755, 824, 833) = 1
Given Input numbers are 171, 755, 824, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 171, 755, 824, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 755, 824, 833 is 1.
Therefore, GCD of numbers 171, 755, 824, 833 is 1
Given Input Data is 171, 755, 824, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 755 is 5 x 151
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 833 is 7 x 7 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(171, 755) = 129105
GCD(171, 755) = ( 171 x 755 ) / 129105
GCD(171, 755) = 129105 / 129105
GCD(171, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 171, 755, 824, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 755, 824, 833?
GCD of 171, 755, 824, 833 is 1
2. Where do I get the detailed procedure to find GCD of 171, 755, 824, 833?
You can find a detailed procedure to find GCD of 171, 755, 824, 833 on our page.
3. How to find GCD of 171, 755, 824, 833 on a calculator?
You can find the GCD of 171, 755, 824, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.