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 465, 329, 998, 944 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 329, 998, 944 is 1
GCD(465, 329, 998, 944) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 329, 998, 944 is 1
GCD(465, 329, 998, 944) = 1
Given Input numbers are 465, 329, 998, 944
To find the GCD of numbers using factoring list out all the divisors of each number
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 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Greatest Common Divisior
We found the divisors of 465, 329, 998, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 329, 998, 944 is 1.
Therefore, GCD of numbers 465, 329, 998, 944 is 1
Given Input Data is 465, 329, 998, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 329 is 7 x 47
Prime Factorization of 998 is 2 x 499
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
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(465, 329) = 152985
GCD(465, 329) = ( 465 x 329 ) / 152985
GCD(465, 329) = 152985 / 152985
GCD(465, 329) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 998
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 998) = 998
GCD(1, 998) = ( 1 x 998 ) / 998
GCD(1, 998) = 998 / 998
GCD(1, 998) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
GCD of 465, 329, 998, 944 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 329, 998, 944?
GCD of 465, 329, 998, 944 is 1
2. Where do I get the detailed procedure to find GCD of 465, 329, 998, 944?
You can find a detailed procedure to find GCD of 465, 329, 998, 944 on our page.
3. How to find GCD of 465, 329, 998, 944 on a calculator?
You can find the GCD of 465, 329, 998, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.