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, 438, 719, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 438, 719, 867 is 1
GCD(465, 438, 719, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 438, 719, 867 is 1
GCD(465, 438, 719, 867) = 1
Given Input numbers are 465, 438, 719, 867
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 465, 438, 719, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 438, 719, 867 is 1.
Therefore, GCD of numbers 465, 438, 719, 867 is 1
Given Input Data is 465, 438, 719, 867
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 438 is 2 x 3 x 73
Prime Factorization of 719 is 719
Prime Factorization of 867 is 3 x 17 x 17
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, 438) = 67890
GCD(465, 438) = ( 465 x 438 ) / 67890
GCD(465, 438) = 203670 / 67890
GCD(465, 438) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 719
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 719) = 2157
GCD(3, 719) = ( 3 x 719 ) / 2157
GCD(3, 719) = 2157 / 2157
GCD(3, 719) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 465, 438, 719, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 438, 719, 867?
GCD of 465, 438, 719, 867 is 1
2. Where do I get the detailed procedure to find GCD of 465, 438, 719, 867?
You can find a detailed procedure to find GCD of 465, 438, 719, 867 on our page.
3. How to find GCD of 465, 438, 719, 867 on a calculator?
You can find the GCD of 465, 438, 719, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.