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 685, 455, 58, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 685, 455, 58, 842 is 1
GCD(685, 455, 58, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 685, 455, 58, 842 is 1
GCD(685, 455, 58, 842) = 1
Given Input numbers are 685, 455, 58, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 685, 455, 58, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 455, 58, 842 is 1.
Therefore, GCD of numbers 685, 455, 58, 842 is 1
Given Input Data is 685, 455, 58, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 685 is 5 x 137
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 58 is 2 x 29
Prime Factorization of 842 is 2 x 421
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(685, 455) = 62335
GCD(685, 455) = ( 685 x 455 ) / 62335
GCD(685, 455) = 311675 / 62335
GCD(685, 455) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 58) = 290
GCD(5, 58) = ( 5 x 58 ) / 290
GCD(5, 58) = 290 / 290
GCD(5, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 685, 455, 58, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 685, 455, 58, 842?
GCD of 685, 455, 58, 842 is 1
2. Where do I get the detailed procedure to find GCD of 685, 455, 58, 842?
You can find a detailed procedure to find GCD of 685, 455, 58, 842 on our page.
3. How to find GCD of 685, 455, 58, 842 on a calculator?
You can find the GCD of 685, 455, 58, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.