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, 235, 427, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 235, 427, 145 is 1
GCD(998, 235, 427, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 235, 427, 145 is 1
GCD(998, 235, 427, 145) = 1
Given Input numbers are 998, 235, 427, 145
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 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 998, 235, 427, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 235, 427, 145 is 1.
Therefore, GCD of numbers 998, 235, 427, 145 is 1
Given Input Data is 998, 235, 427, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 235 is 5 x 47
Prime Factorization of 427 is 7 x 61
Prime Factorization of 145 is 5 x 29
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, 235) = 234530
GCD(998, 235) = ( 998 x 235 ) / 234530
GCD(998, 235) = 234530 / 234530
GCD(998, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 998, 235, 427, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 235, 427, 145?
GCD of 998, 235, 427, 145 is 1
2. Where do I get the detailed procedure to find GCD of 998, 235, 427, 145?
You can find a detailed procedure to find GCD of 998, 235, 427, 145 on our page.
3. How to find GCD of 998, 235, 427, 145 on a calculator?
You can find the GCD of 998, 235, 427, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.