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, 487, 752, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 487, 752, 172 is 1
GCD(488, 487, 752, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 487, 752, 172 is 1
GCD(488, 487, 752, 172) = 1
Given Input numbers are 488, 487, 752, 172
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 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 488, 487, 752, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 487, 752, 172 is 1.
Therefore, GCD of numbers 488, 487, 752, 172 is 1
Given Input Data is 488, 487, 752, 172
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 487 is 487
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 172 is 2 x 2 x 43
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, 487) = 237656
GCD(488, 487) = ( 488 x 487 ) / 237656
GCD(488, 487) = 237656 / 237656
GCD(488, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 488, 487, 752, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 487, 752, 172?
GCD of 488, 487, 752, 172 is 1
2. Where do I get the detailed procedure to find GCD of 488, 487, 752, 172?
You can find a detailed procedure to find GCD of 488, 487, 752, 172 on our page.
3. How to find GCD of 488, 487, 752, 172 on a calculator?
You can find the GCD of 488, 487, 752, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.