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, 367, 901, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 367, 901, 272 is 1
GCD(975, 367, 901, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 367, 901, 272 is 1
GCD(975, 367, 901, 272) = 1
Given Input numbers are 975, 367, 901, 272
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 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 975, 367, 901, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 367, 901, 272 is 1.
Therefore, GCD of numbers 975, 367, 901, 272 is 1
Given Input Data is 975, 367, 901, 272
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 367 is 367
Prime Factorization of 901 is 17 x 53
Prime Factorization of 272 is 2 x 2 x 2 x 2 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(975, 367) = 357825
GCD(975, 367) = ( 975 x 367 ) / 357825
GCD(975, 367) = 357825 / 357825
GCD(975, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 975, 367, 901, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 367, 901, 272?
GCD of 975, 367, 901, 272 is 1
2. Where do I get the detailed procedure to find GCD of 975, 367, 901, 272?
You can find a detailed procedure to find GCD of 975, 367, 901, 272 on our page.
3. How to find GCD of 975, 367, 901, 272 on a calculator?
You can find the GCD of 975, 367, 901, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.