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 456, 823, 87, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 823, 87, 369 is 1
GCD(456, 823, 87, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 823, 87, 369 is 1
GCD(456, 823, 87, 369) = 1
Given Input numbers are 456, 823, 87, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 456, 823, 87, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 823, 87, 369 is 1.
Therefore, GCD of numbers 456, 823, 87, 369 is 1
Given Input Data is 456, 823, 87, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 823 is 823
Prime Factorization of 87 is 3 x 29
Prime Factorization of 369 is 3 x 3 x 41
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(456, 823) = 375288
GCD(456, 823) = ( 456 x 823 ) / 375288
GCD(456, 823) = 375288 / 375288
GCD(456, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 456, 823, 87, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 823, 87, 369?
GCD of 456, 823, 87, 369 is 1
2. Where do I get the detailed procedure to find GCD of 456, 823, 87, 369?
You can find a detailed procedure to find GCD of 456, 823, 87, 369 on our page.
3. How to find GCD of 456, 823, 87, 369 on a calculator?
You can find the GCD of 456, 823, 87, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.