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, 180, 33, 686 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 180, 33, 686 is 1
GCD(975, 180, 33, 686) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 180, 33, 686 is 1
GCD(975, 180, 33, 686) = 1
Given Input numbers are 975, 180, 33, 686
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 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 975, 180, 33, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 180, 33, 686 is 1.
Therefore, GCD of numbers 975, 180, 33, 686 is 1
Given Input Data is 975, 180, 33, 686
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 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 33 is 3 x 11
Prime Factorization of 686 is 2 x 7 x 7 x 7
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, 180) = 11700
GCD(975, 180) = ( 975 x 180 ) / 11700
GCD(975, 180) = 175500 / 11700
GCD(975, 180) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 33) = 165
GCD(15, 33) = ( 15 x 33 ) / 165
GCD(15, 33) = 495 / 165
GCD(15, 33) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 686) = 2058
GCD(3, 686) = ( 3 x 686 ) / 2058
GCD(3, 686) = 2058 / 2058
GCD(3, 686) = 1
GCD of 975, 180, 33, 686 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 180, 33, 686?
GCD of 975, 180, 33, 686 is 1
2. Where do I get the detailed procedure to find GCD of 975, 180, 33, 686?
You can find a detailed procedure to find GCD of 975, 180, 33, 686 on our page.
3. How to find GCD of 975, 180, 33, 686 on a calculator?
You can find the GCD of 975, 180, 33, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.