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 998, 155, 369, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 155, 369, 264 is 1
GCD(998, 155, 369, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 155, 369, 264 is 1
GCD(998, 155, 369, 264) = 1
Given Input numbers are 998, 155, 369, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
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
Greatest Common Divisior
We found the divisors of 998, 155, 369, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 155, 369, 264 is 1.
Therefore, GCD of numbers 998, 155, 369, 264 is 1
Given Input Data is 998, 155, 369, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 155 is 5 x 31
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 264 is 2 x 2 x 2 x 3 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(998, 155) = 154690
GCD(998, 155) = ( 998 x 155 ) / 154690
GCD(998, 155) = 154690 / 154690
GCD(998, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 998, 155, 369, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 155, 369, 264?
GCD of 998, 155, 369, 264 is 1
2. Where do I get the detailed procedure to find GCD of 998, 155, 369, 264?
You can find a detailed procedure to find GCD of 998, 155, 369, 264 on our page.
3. How to find GCD of 998, 155, 369, 264 on a calculator?
You can find the GCD of 998, 155, 369, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.