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 488, 122, 702, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 122, 702, 171 is 1
GCD(488, 122, 702, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 122, 702, 171 is 1
GCD(488, 122, 702, 171) = 1
Given Input numbers are 488, 122, 702, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 488, 122, 702, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 122, 702, 171 is 1.
Therefore, GCD of numbers 488, 122, 702, 171 is 1
Given Input Data is 488, 122, 702, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 122 is 2 x 61
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 171 is 3 x 3 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(488, 122) = 488
GCD(488, 122) = ( 488 x 122 ) / 488
GCD(488, 122) = 59536 / 488
GCD(488, 122) = 122
Step2:
Here we consider the GCD from the above i.e. 122 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(122, 702) = 42822
GCD(122, 702) = ( 122 x 702 ) / 42822
GCD(122, 702) = 85644 / 42822
GCD(122, 702) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 171) = 342
GCD(2, 171) = ( 2 x 171 ) / 342
GCD(2, 171) = 342 / 342
GCD(2, 171) = 1
GCD of 488, 122, 702, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 122, 702, 171?
GCD of 488, 122, 702, 171 is 1
2. Where do I get the detailed procedure to find GCD of 488, 122, 702, 171?
You can find a detailed procedure to find GCD of 488, 122, 702, 171 on our page.
3. How to find GCD of 488, 122, 702, 171 on a calculator?
You can find the GCD of 488, 122, 702, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.