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 183, 896, 118, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 183, 896, 118, 898 is 1
GCD(183, 896, 118, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 183, 896, 118, 898 is 1
GCD(183, 896, 118, 898) = 1
Given Input numbers are 183, 896, 118, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
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 183, 896, 118, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 896, 118, 898 is 1.
Therefore, GCD of numbers 183, 896, 118, 898 is 1
Given Input Data is 183, 896, 118, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 183 is 3 x 61
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 118 is 2 x 59
Prime Factorization of 898 is 2 x 449
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(183, 896) = 163968
GCD(183, 896) = ( 183 x 896 ) / 163968
GCD(183, 896) = 163968 / 163968
GCD(183, 896) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
GCD of 183, 896, 118, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 183, 896, 118, 898?
GCD of 183, 896, 118, 898 is 1
2. Where do I get the detailed procedure to find GCD of 183, 896, 118, 898?
You can find a detailed procedure to find GCD of 183, 896, 118, 898 on our page.
3. How to find GCD of 183, 896, 118, 898 on a calculator?
You can find the GCD of 183, 896, 118, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.