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, 994, 399, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 162, 994, 399, 978 is 1
GCD(162, 994, 399, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 162, 994, 399, 978 is 1
GCD(162, 994, 399, 978) = 1
Given Input numbers are 162, 994, 399, 978
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 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 162, 994, 399, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 994, 399, 978 is 1.
Therefore, GCD of numbers 162, 994, 399, 978 is 1
Given Input Data is 162, 994, 399, 978
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 994 is 2 x 7 x 71
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 978 is 2 x 3 x 163
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, 994) = 80514
GCD(162, 994) = ( 162 x 994 ) / 80514
GCD(162, 994) = 161028 / 80514
GCD(162, 994) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 399) = 798
GCD(2, 399) = ( 2 x 399 ) / 798
GCD(2, 399) = 798 / 798
GCD(2, 399) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 162, 994, 399, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 162, 994, 399, 978?
GCD of 162, 994, 399, 978 is 1
2. Where do I get the detailed procedure to find GCD of 162, 994, 399, 978?
You can find a detailed procedure to find GCD of 162, 994, 399, 978 on our page.
3. How to find GCD of 162, 994, 399, 978 on a calculator?
You can find the GCD of 162, 994, 399, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.