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 187, 738, 43, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 187, 738, 43, 360 is 1
GCD(187, 738, 43, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 187, 738, 43, 360 is 1
GCD(187, 738, 43, 360) = 1
Given Input numbers are 187, 738, 43, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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
Greatest Common Divisior
We found the divisors of 187, 738, 43, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 738, 43, 360 is 1.
Therefore, GCD of numbers 187, 738, 43, 360 is 1
Given Input Data is 187, 738, 43, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 187 is 11 x 17
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 43 is 43
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(187, 738) = 138006
GCD(187, 738) = ( 187 x 738 ) / 138006
GCD(187, 738) = 138006 / 138006
GCD(187, 738) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
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
GCD of 187, 738, 43, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 187, 738, 43, 360?
GCD of 187, 738, 43, 360 is 1
2. Where do I get the detailed procedure to find GCD of 187, 738, 43, 360?
You can find a detailed procedure to find GCD of 187, 738, 43, 360 on our page.
3. How to find GCD of 187, 738, 43, 360 on a calculator?
You can find the GCD of 187, 738, 43, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.