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 162, 303, 632, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 303, 632, 463 is 1
GCD(162, 303, 632, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 303, 632, 463 is 1
GCD(162, 303, 632, 463) = 1
Given Input numbers are 162, 303, 632, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 162, 303, 632, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 303, 632, 463 is 1.
Therefore, GCD of numbers 162, 303, 632, 463 is 1
Given Input Data is 162, 303, 632, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 303 is 3 x 101
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 463 is 463
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(162, 303) = 16362
GCD(162, 303) = ( 162 x 303 ) / 16362
GCD(162, 303) = 49086 / 16362
GCD(162, 303) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 632) = 1896
GCD(3, 632) = ( 3 x 632 ) / 1896
GCD(3, 632) = 1896 / 1896
GCD(3, 632) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 162, 303, 632, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 303, 632, 463?
GCD of 162, 303, 632, 463 is 1
2. Where do I get the detailed procedure to find GCD of 162, 303, 632, 463?
You can find a detailed procedure to find GCD of 162, 303, 632, 463 on our page.
3. How to find GCD of 162, 303, 632, 463 on a calculator?
You can find the GCD of 162, 303, 632, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.