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 131, 617, 983, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 617, 983, 282 is 1
GCD(131, 617, 983, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 617, 983, 282 is 1
GCD(131, 617, 983, 282) = 1
Given Input numbers are 131, 617, 983, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 131, 617, 983, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 617, 983, 282 is 1.
Therefore, GCD of numbers 131, 617, 983, 282 is 1
Given Input Data is 131, 617, 983, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 617 is 617
Prime Factorization of 983 is 983
Prime Factorization of 282 is 2 x 3 x 47
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(131, 617) = 80827
GCD(131, 617) = ( 131 x 617 ) / 80827
GCD(131, 617) = 80827 / 80827
GCD(131, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 131, 617, 983, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 617, 983, 282?
GCD of 131, 617, 983, 282 is 1
2. Where do I get the detailed procedure to find GCD of 131, 617, 983, 282?
You can find a detailed procedure to find GCD of 131, 617, 983, 282 on our page.
3. How to find GCD of 131, 617, 983, 282 on a calculator?
You can find the GCD of 131, 617, 983, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.