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 236, 105, 360, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 105, 360, 929 is 1
GCD(236, 105, 360, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 105, 360, 929 is 1
GCD(236, 105, 360, 929) = 1
Given Input numbers are 236, 105, 360, 929
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
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 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 236, 105, 360, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 105, 360, 929 is 1.
Therefore, GCD of numbers 236, 105, 360, 929 is 1
Given Input Data is 236, 105, 360, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 929 is 929
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(236, 105) = 24780
GCD(236, 105) = ( 236 x 105 ) / 24780
GCD(236, 105) = 24780 / 24780
GCD(236, 105) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
GCD(1, 929) = 929 / 929
GCD(1, 929) = 1
GCD of 236, 105, 360, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 105, 360, 929?
GCD of 236, 105, 360, 929 is 1
2. Where do I get the detailed procedure to find GCD of 236, 105, 360, 929?
You can find a detailed procedure to find GCD of 236, 105, 360, 929 on our page.
3. How to find GCD of 236, 105, 360, 929 on a calculator?
You can find the GCD of 236, 105, 360, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.