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 689, 318, 45, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 318, 45, 473 is 1
GCD(689, 318, 45, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 318, 45, 473 is 1
GCD(689, 318, 45, 473) = 1
Given Input numbers are 689, 318, 45, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 689, 318, 45, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 318, 45, 473 is 1.
Therefore, GCD of numbers 689, 318, 45, 473 is 1
Given Input Data is 689, 318, 45, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 473 is 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(689, 318) = 4134
GCD(689, 318) = ( 689 x 318 ) / 4134
GCD(689, 318) = 219102 / 4134
GCD(689, 318) = 53
Step2:
Here we consider the GCD from the above i.e. 53 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(53, 45) = 2385
GCD(53, 45) = ( 53 x 45 ) / 2385
GCD(53, 45) = 2385 / 2385
GCD(53, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 689, 318, 45, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 318, 45, 473?
GCD of 689, 318, 45, 473 is 1
2. Where do I get the detailed procedure to find GCD of 689, 318, 45, 473?
You can find a detailed procedure to find GCD of 689, 318, 45, 473 on our page.
3. How to find GCD of 689, 318, 45, 473 on a calculator?
You can find the GCD of 689, 318, 45, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.