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 462, 369, 183, 890 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 369, 183, 890 is 1
GCD(462, 369, 183, 890) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 369, 183, 890 is 1
GCD(462, 369, 183, 890) = 1
Given Input numbers are 462, 369, 183, 890
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 462, 369, 183, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 369, 183, 890 is 1.
Therefore, GCD of numbers 462, 369, 183, 890 is 1
Given Input Data is 462, 369, 183, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 183 is 3 x 61
Prime Factorization of 890 is 2 x 5 x 89
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(462, 369) = 56826
GCD(462, 369) = ( 462 x 369 ) / 56826
GCD(462, 369) = 170478 / 56826
GCD(462, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 183) = 183
GCD(3, 183) = ( 3 x 183 ) / 183
GCD(3, 183) = 549 / 183
GCD(3, 183) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 890) = 2670
GCD(3, 890) = ( 3 x 890 ) / 2670
GCD(3, 890) = 2670 / 2670
GCD(3, 890) = 1
GCD of 462, 369, 183, 890 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 369, 183, 890?
GCD of 462, 369, 183, 890 is 1
2. Where do I get the detailed procedure to find GCD of 462, 369, 183, 890?
You can find a detailed procedure to find GCD of 462, 369, 183, 890 on our page.
3. How to find GCD of 462, 369, 183, 890 on a calculator?
You can find the GCD of 462, 369, 183, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.