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 58, 545, 212, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 545, 212, 683 is 1
GCD(58, 545, 212, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 545, 212, 683 is 1
GCD(58, 545, 212, 683) = 1
Given Input numbers are 58, 545, 212, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 58, 545, 212, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 545, 212, 683 is 1.
Therefore, GCD of numbers 58, 545, 212, 683 is 1
Given Input Data is 58, 545, 212, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 545 is 5 x 109
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 683 is 683
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(58, 545) = 31610
GCD(58, 545) = ( 58 x 545 ) / 31610
GCD(58, 545) = 31610 / 31610
GCD(58, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 58, 545, 212, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 545, 212, 683?
GCD of 58, 545, 212, 683 is 1
2. Where do I get the detailed procedure to find GCD of 58, 545, 212, 683?
You can find a detailed procedure to find GCD of 58, 545, 212, 683 on our page.
3. How to find GCD of 58, 545, 212, 683 on a calculator?
You can find the GCD of 58, 545, 212, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.