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 36, 675, 230, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 675, 230, 953 is 1
GCD(36, 675, 230, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 675, 230, 953 is 1
GCD(36, 675, 230, 953) = 1
Given Input numbers are 36, 675, 230, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 36, 675, 230, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 675, 230, 953 is 1.
Therefore, GCD of numbers 36, 675, 230, 953 is 1
Given Input Data is 36, 675, 230, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 953 is 953
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(36, 675) = 2700
GCD(36, 675) = ( 36 x 675 ) / 2700
GCD(36, 675) = 24300 / 2700
GCD(36, 675) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 230) = 2070
GCD(9, 230) = ( 9 x 230 ) / 2070
GCD(9, 230) = 2070 / 2070
GCD(9, 230) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 36, 675, 230, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 675, 230, 953?
GCD of 36, 675, 230, 953 is 1
2. Where do I get the detailed procedure to find GCD of 36, 675, 230, 953?
You can find a detailed procedure to find GCD of 36, 675, 230, 953 on our page.
3. How to find GCD of 36, 675, 230, 953 on a calculator?
You can find the GCD of 36, 675, 230, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.