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 845, 773, 978, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 773, 978, 160 is 1
GCD(845, 773, 978, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 773, 978, 160 is 1
GCD(845, 773, 978, 160) = 1
Given Input numbers are 845, 773, 978, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 845, 773, 978, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 773, 978, 160 is 1.
Therefore, GCD of numbers 845, 773, 978, 160 is 1
Given Input Data is 845, 773, 978, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 773 is 773
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(845, 773) = 653185
GCD(845, 773) = ( 845 x 773 ) / 653185
GCD(845, 773) = 653185 / 653185
GCD(845, 773) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 845, 773, 978, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 773, 978, 160?
GCD of 845, 773, 978, 160 is 1
2. Where do I get the detailed procedure to find GCD of 845, 773, 978, 160?
You can find a detailed procedure to find GCD of 845, 773, 978, 160 on our page.
3. How to find GCD of 845, 773, 978, 160 on a calculator?
You can find the GCD of 845, 773, 978, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.