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 113, 586, 141, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 586, 141, 950 is 1
GCD(113, 586, 141, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 586, 141, 950 is 1
GCD(113, 586, 141, 950) = 1
Given Input numbers are 113, 586, 141, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
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
Greatest Common Divisior
We found the divisors of 113, 586, 141, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 586, 141, 950 is 1.
Therefore, GCD of numbers 113, 586, 141, 950 is 1
Given Input Data is 113, 586, 141, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 586 is 2 x 293
Prime Factorization of 141 is 3 x 47
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(113, 586) = 66218
GCD(113, 586) = ( 113 x 586 ) / 66218
GCD(113, 586) = 66218 / 66218
GCD(113, 586) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 113, 586, 141, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 586, 141, 950?
GCD of 113, 586, 141, 950 is 1
2. Where do I get the detailed procedure to find GCD of 113, 586, 141, 950?
You can find a detailed procedure to find GCD of 113, 586, 141, 950 on our page.
3. How to find GCD of 113, 586, 141, 950 on a calculator?
You can find the GCD of 113, 586, 141, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.