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 17, 160, 847, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 160, 847, 764 is 1
GCD(17, 160, 847, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 160, 847, 764 is 1
GCD(17, 160, 847, 764) = 1
Given Input numbers are 17, 160, 847, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 17, 160, 847, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 160, 847, 764 is 1.
Therefore, GCD of numbers 17, 160, 847, 764 is 1
Given Input Data is 17, 160, 847, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 764 is 2 x 2 x 191
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(17, 160) = 2720
GCD(17, 160) = ( 17 x 160 ) / 2720
GCD(17, 160) = 2720 / 2720
GCD(17, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 17, 160, 847, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 160, 847, 764?
GCD of 17, 160, 847, 764 is 1
2. Where do I get the detailed procedure to find GCD of 17, 160, 847, 764?
You can find a detailed procedure to find GCD of 17, 160, 847, 764 on our page.
3. How to find GCD of 17, 160, 847, 764 on a calculator?
You can find the GCD of 17, 160, 847, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.