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 582, 958, 154, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 582, 958, 154, 341 is 1
GCD(582, 958, 154, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 582, 958, 154, 341 is 1
GCD(582, 958, 154, 341) = 1
Given Input numbers are 582, 958, 154, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 582, 958, 154, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 958, 154, 341 is 1.
Therefore, GCD of numbers 582, 958, 154, 341 is 1
Given Input Data is 582, 958, 154, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 958 is 2 x 479
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 341 is 11 x 31
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(582, 958) = 278778
GCD(582, 958) = ( 582 x 958 ) / 278778
GCD(582, 958) = 557556 / 278778
GCD(582, 958) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
GCD(2, 154) = 308 / 154
GCD(2, 154) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
GCD(2, 341) = 682 / 682
GCD(2, 341) = 1
GCD of 582, 958, 154, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 582, 958, 154, 341?
GCD of 582, 958, 154, 341 is 1
2. Where do I get the detailed procedure to find GCD of 582, 958, 154, 341?
You can find a detailed procedure to find GCD of 582, 958, 154, 341 on our page.
3. How to find GCD of 582, 958, 154, 341 on a calculator?
You can find the GCD of 582, 958, 154, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.