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 61, 518, 986, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 518, 986, 381 is 1
GCD(61, 518, 986, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 518, 986, 381 is 1
GCD(61, 518, 986, 381) = 1
Given Input numbers are 61, 518, 986, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 61, 518, 986, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 518, 986, 381 is 1.
Therefore, GCD of numbers 61, 518, 986, 381 is 1
Given Input Data is 61, 518, 986, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 381 is 3 x 127
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(61, 518) = 31598
GCD(61, 518) = ( 61 x 518 ) / 31598
GCD(61, 518) = 31598 / 31598
GCD(61, 518) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 61, 518, 986, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 518, 986, 381?
GCD of 61, 518, 986, 381 is 1
2. Where do I get the detailed procedure to find GCD of 61, 518, 986, 381?
You can find a detailed procedure to find GCD of 61, 518, 986, 381 on our page.
3. How to find GCD of 61, 518, 986, 381 on a calculator?
You can find the GCD of 61, 518, 986, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.