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, 950, 182, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 950, 182, 917 is 1
GCD(58, 950, 182, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 950, 182, 917 is 1
GCD(58, 950, 182, 917) = 1
Given Input numbers are 58, 950, 182, 917
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 58, 950, 182, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 950, 182, 917 is 1.
Therefore, GCD of numbers 58, 950, 182, 917 is 1
Given Input Data is 58, 950, 182, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 917 is 7 x 131
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, 950) = 27550
GCD(58, 950) = ( 58 x 950 ) / 27550
GCD(58, 950) = 55100 / 27550
GCD(58, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
GCD(2, 182) = 364 / 182
GCD(2, 182) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
GCD(2, 917) = 1834 / 1834
GCD(2, 917) = 1
GCD of 58, 950, 182, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 950, 182, 917?
GCD of 58, 950, 182, 917 is 1
2. Where do I get the detailed procedure to find GCD of 58, 950, 182, 917?
You can find a detailed procedure to find GCD of 58, 950, 182, 917 on our page.
3. How to find GCD of 58, 950, 182, 917 on a calculator?
You can find the GCD of 58, 950, 182, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.