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 681, 272, 829, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 272, 829, 975 is 1
GCD(681, 272, 829, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 272, 829, 975 is 1
GCD(681, 272, 829, 975) = 1
Given Input numbers are 681, 272, 829, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
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
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
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
Greatest Common Divisior
We found the divisors of 681, 272, 829, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 272, 829, 975 is 1.
Therefore, GCD of numbers 681, 272, 829, 975 is 1
Given Input Data is 681, 272, 829, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 829 is 829
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(681, 272) = 185232
GCD(681, 272) = ( 681 x 272 ) / 185232
GCD(681, 272) = 185232 / 185232
GCD(681, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 681, 272, 829, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 272, 829, 975?
GCD of 681, 272, 829, 975 is 1
2. Where do I get the detailed procedure to find GCD of 681, 272, 829, 975?
You can find a detailed procedure to find GCD of 681, 272, 829, 975 on our page.
3. How to find GCD of 681, 272, 829, 975 on a calculator?
You can find the GCD of 681, 272, 829, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.