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 398, 465, 93, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 465, 93, 141 is 1
GCD(398, 465, 93, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 465, 93, 141 is 1
GCD(398, 465, 93, 141) = 1
Given Input numbers are 398, 465, 93, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 398, 465, 93, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 465, 93, 141 is 1.
Therefore, GCD of numbers 398, 465, 93, 141 is 1
Given Input Data is 398, 465, 93, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 93 is 3 x 31
Prime Factorization of 141 is 3 x 47
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(398, 465) = 185070
GCD(398, 465) = ( 398 x 465 ) / 185070
GCD(398, 465) = 185070 / 185070
GCD(398, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 93) = 93
GCD(1, 93) = ( 1 x 93 ) / 93
GCD(1, 93) = 93 / 93
GCD(1, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 398, 465, 93, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 465, 93, 141?
GCD of 398, 465, 93, 141 is 1
2. Where do I get the detailed procedure to find GCD of 398, 465, 93, 141?
You can find a detailed procedure to find GCD of 398, 465, 93, 141 on our page.
3. How to find GCD of 398, 465, 93, 141 on a calculator?
You can find the GCD of 398, 465, 93, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.