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 975, 472, 752, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 472, 752, 171 is 1
GCD(975, 472, 752, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 472, 752, 171 is 1
GCD(975, 472, 752, 171) = 1
Given Input numbers are 975, 472, 752, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
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 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 975, 472, 752, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 472, 752, 171 is 1.
Therefore, GCD of numbers 975, 472, 752, 171 is 1
Given Input Data is 975, 472, 752, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(975, 472) = 460200
GCD(975, 472) = ( 975 x 472 ) / 460200
GCD(975, 472) = 460200 / 460200
GCD(975, 472) = 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 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 975, 472, 752, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 472, 752, 171?
GCD of 975, 472, 752, 171 is 1
2. Where do I get the detailed procedure to find GCD of 975, 472, 752, 171?
You can find a detailed procedure to find GCD of 975, 472, 752, 171 on our page.
3. How to find GCD of 975, 472, 752, 171 on a calculator?
You can find the GCD of 975, 472, 752, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.