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, 344, 232, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 344, 232, 967 is 1
GCD(465, 344, 232, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 344, 232, 967 is 1
GCD(465, 344, 232, 967) = 1
Given Input numbers are 465, 344, 232, 967
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 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 465, 344, 232, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 344, 232, 967 is 1.
Therefore, GCD of numbers 465, 344, 232, 967 is 1
Given Input Data is 465, 344, 232, 967
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 344 is 2 x 2 x 2 x 43
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 967 is 967
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, 344) = 159960
GCD(465, 344) = ( 465 x 344 ) / 159960
GCD(465, 344) = 159960 / 159960
GCD(465, 344) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 465, 344, 232, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 344, 232, 967?
GCD of 465, 344, 232, 967 is 1
2. Where do I get the detailed procedure to find GCD of 465, 344, 232, 967?
You can find a detailed procedure to find GCD of 465, 344, 232, 967 on our page.
3. How to find GCD of 465, 344, 232, 967 on a calculator?
You can find the GCD of 465, 344, 232, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.