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 163, 355, 106, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 163, 355, 106, 778 is 1
GCD(163, 355, 106, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 163, 355, 106, 778 is 1
GCD(163, 355, 106, 778) = 1
Given Input numbers are 163, 355, 106, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 163, 355, 106, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 355, 106, 778 is 1.
Therefore, GCD of numbers 163, 355, 106, 778 is 1
Given Input Data is 163, 355, 106, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 163 is 163
Prime Factorization of 355 is 5 x 71
Prime Factorization of 106 is 2 x 53
Prime Factorization of 778 is 2 x 389
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(163, 355) = 57865
GCD(163, 355) = ( 163 x 355 ) / 57865
GCD(163, 355) = 57865 / 57865
GCD(163, 355) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 163, 355, 106, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 163, 355, 106, 778?
GCD of 163, 355, 106, 778 is 1
2. Where do I get the detailed procedure to find GCD of 163, 355, 106, 778?
You can find a detailed procedure to find GCD of 163, 355, 106, 778 on our page.
3. How to find GCD of 163, 355, 106, 778 on a calculator?
You can find the GCD of 163, 355, 106, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.