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 264, 918, 43, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 918, 43, 898 is 1
GCD(264, 918, 43, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 918, 43, 898 is 1
GCD(264, 918, 43, 898) = 1
Given Input numbers are 264, 918, 43, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
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 264, 918, 43, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 918, 43, 898 is 1.
Therefore, GCD of numbers 264, 918, 43, 898 is 1
Given Input Data is 264, 918, 43, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 43 is 43
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(264, 918) = 40392
GCD(264, 918) = ( 264 x 918 ) / 40392
GCD(264, 918) = 242352 / 40392
GCD(264, 918) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 43) = 258
GCD(6, 43) = ( 6 x 43 ) / 258
GCD(6, 43) = 258 / 258
GCD(6, 43) = 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 264, 918, 43, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 918, 43, 898?
GCD of 264, 918, 43, 898 is 1
2. Where do I get the detailed procedure to find GCD of 264, 918, 43, 898?
You can find a detailed procedure to find GCD of 264, 918, 43, 898 on our page.
3. How to find GCD of 264, 918, 43, 898 on a calculator?
You can find the GCD of 264, 918, 43, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.