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 788, 163, 960, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 163, 960, 946 is 1
GCD(788, 163, 960, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 163, 960, 946 is 1
GCD(788, 163, 960, 946) = 1
Given Input numbers are 788, 163, 960, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 788, 163, 960, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 163, 960, 946 is 1.
Therefore, GCD of numbers 788, 163, 960, 946 is 1
Given Input Data is 788, 163, 960, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 163 is 163
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 946 is 2 x 11 x 43
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(788, 163) = 128444
GCD(788, 163) = ( 788 x 163 ) / 128444
GCD(788, 163) = 128444 / 128444
GCD(788, 163) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 788, 163, 960, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 163, 960, 946?
GCD of 788, 163, 960, 946 is 1
2. Where do I get the detailed procedure to find GCD of 788, 163, 960, 946?
You can find a detailed procedure to find GCD of 788, 163, 960, 946 on our page.
3. How to find GCD of 788, 163, 960, 946 on a calculator?
You can find the GCD of 788, 163, 960, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.