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 360, 203, 243, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 203, 243, 946 is 1
GCD(360, 203, 243, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 203, 243, 946 is 1
GCD(360, 203, 243, 946) = 1
Given Input numbers are 360, 203, 243, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 360, 203, 243, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 203, 243, 946 is 1.
Therefore, GCD of numbers 360, 203, 243, 946 is 1
Given Input Data is 360, 203, 243, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 203 is 7 x 29
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 946 is 2 x 11 x 43
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(360, 203) = 73080
GCD(360, 203) = ( 360 x 203 ) / 73080
GCD(360, 203) = 73080 / 73080
GCD(360, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 360, 203, 243, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 203, 243, 946?
GCD of 360, 203, 243, 946 is 1
2. Where do I get the detailed procedure to find GCD of 360, 203, 243, 946?
You can find a detailed procedure to find GCD of 360, 203, 243, 946 on our page.
3. How to find GCD of 360, 203, 243, 946 on a calculator?
You can find the GCD of 360, 203, 243, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.