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, 954, 383, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 954, 383, 388 is 1
GCD(465, 954, 383, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 954, 383, 388 is 1
GCD(465, 954, 383, 388) = 1
Given Input numbers are 465, 954, 383, 388
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 465, 954, 383, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 954, 383, 388 is 1.
Therefore, GCD of numbers 465, 954, 383, 388 is 1
Given Input Data is 465, 954, 383, 388
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 954 is 2 x 3 x 3 x 53
Prime Factorization of 383 is 383
Prime Factorization of 388 is 2 x 2 x 97
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, 954) = 147870
GCD(465, 954) = ( 465 x 954 ) / 147870
GCD(465, 954) = 443610 / 147870
GCD(465, 954) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 383) = 1149
GCD(3, 383) = ( 3 x 383 ) / 1149
GCD(3, 383) = 1149 / 1149
GCD(3, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 465, 954, 383, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 954, 383, 388?
GCD of 465, 954, 383, 388 is 1
2. Where do I get the detailed procedure to find GCD of 465, 954, 383, 388?
You can find a detailed procedure to find GCD of 465, 954, 383, 388 on our page.
3. How to find GCD of 465, 954, 383, 388 on a calculator?
You can find the GCD of 465, 954, 383, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.