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, 665, 144, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 665, 144, 692 is 1
GCD(845, 665, 144, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 665, 144, 692 is 1
GCD(845, 665, 144, 692) = 1
Given Input numbers are 845, 665, 144, 692
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 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 845, 665, 144, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 665, 144, 692 is 1.
Therefore, GCD of numbers 845, 665, 144, 692 is 1
Given Input Data is 845, 665, 144, 692
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 665 is 5 x 7 x 19
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 692 is 2 x 2 x 173
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, 665) = 112385
GCD(845, 665) = ( 845 x 665 ) / 112385
GCD(845, 665) = 561925 / 112385
GCD(845, 665) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 144) = 720
GCD(5, 144) = ( 5 x 144 ) / 720
GCD(5, 144) = 720 / 720
GCD(5, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 845, 665, 144, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 665, 144, 692?
GCD of 845, 665, 144, 692 is 1
2. Where do I get the detailed procedure to find GCD of 845, 665, 144, 692?
You can find a detailed procedure to find GCD of 845, 665, 144, 692 on our page.
3. How to find GCD of 845, 665, 144, 692 on a calculator?
You can find the GCD of 845, 665, 144, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.