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 180, 368, 34, 898 i.e. 2 largest integer that divides all the numbers equally.
GCD of 180, 368, 34, 898 is 2
GCD(180, 368, 34, 898) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 368, 34, 898 is 2
GCD(180, 368, 34, 898) = 2
Given Input numbers are 180, 368, 34, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 180, 368, 34, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 368, 34, 898 is 2.
Therefore, GCD of numbers 180, 368, 34, 898 is 2
Given Input Data is 180, 368, 34, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 34 is 2 x 17
Prime Factorization of 898 is 2 x 449
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(180, 368) = 16560
GCD(180, 368) = ( 180 x 368 ) / 16560
GCD(180, 368) = 66240 / 16560
GCD(180, 368) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 34) = 68
GCD(4, 34) = ( 4 x 34 ) / 68
GCD(4, 34) = 136 / 68
GCD(4, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
GCD(2, 898) = 1796 / 898
GCD(2, 898) = 2
GCD of 180, 368, 34, 898 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 368, 34, 898?
GCD of 180, 368, 34, 898 is 2
2. Where do I get the detailed procedure to find GCD of 180, 368, 34, 898?
You can find a detailed procedure to find GCD of 180, 368, 34, 898 on our page.
3. How to find GCD of 180, 368, 34, 898 on a calculator?
You can find the GCD of 180, 368, 34, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.