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 185, 407, 618, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 185, 407, 618, 968 is 1
GCD(185, 407, 618, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 185, 407, 618, 968 is 1
GCD(185, 407, 618, 968) = 1
Given Input numbers are 185, 407, 618, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 185, 407, 618, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 407, 618, 968 is 1.
Therefore, GCD of numbers 185, 407, 618, 968 is 1
Given Input Data is 185, 407, 618, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 185 is 5 x 37
Prime Factorization of 407 is 11 x 37
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
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(185, 407) = 2035
GCD(185, 407) = ( 185 x 407 ) / 2035
GCD(185, 407) = 75295 / 2035
GCD(185, 407) = 37
Step2:
Here we consider the GCD from the above i.e. 37 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(37, 618) = 22866
GCD(37, 618) = ( 37 x 618 ) / 22866
GCD(37, 618) = 22866 / 22866
GCD(37, 618) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 185, 407, 618, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 185, 407, 618, 968?
GCD of 185, 407, 618, 968 is 1
2. Where do I get the detailed procedure to find GCD of 185, 407, 618, 968?
You can find a detailed procedure to find GCD of 185, 407, 618, 968 on our page.
3. How to find GCD of 185, 407, 618, 968 on a calculator?
You can find the GCD of 185, 407, 618, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.