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 361, 823, 43, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 823, 43, 464 is 1
GCD(361, 823, 43, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 823, 43, 464 is 1
GCD(361, 823, 43, 464) = 1
Given Input numbers are 361, 823, 43, 464
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 361, 823, 43, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 823, 43, 464 is 1.
Therefore, GCD of numbers 361, 823, 43, 464 is 1
Given Input Data is 361, 823, 43, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 823 is 823
Prime Factorization of 43 is 43
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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(361, 823) = 297103
GCD(361, 823) = ( 361 x 823 ) / 297103
GCD(361, 823) = 297103 / 297103
GCD(361, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 361, 823, 43, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 823, 43, 464?
GCD of 361, 823, 43, 464 is 1
2. Where do I get the detailed procedure to find GCD of 361, 823, 43, 464?
You can find a detailed procedure to find GCD of 361, 823, 43, 464 on our page.
3. How to find GCD of 361, 823, 43, 464 on a calculator?
You can find the GCD of 361, 823, 43, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.