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 487, 983, 49, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 983, 49, 119 is 1
GCD(487, 983, 49, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 983, 49, 119 is 1
GCD(487, 983, 49, 119) = 1
Given Input numbers are 487, 983, 49, 119
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 487, 983, 49, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 983, 49, 119 is 1.
Therefore, GCD of numbers 487, 983, 49, 119 is 1
Given Input Data is 487, 983, 49, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 983 is 983
Prime Factorization of 49 is 7 x 7
Prime Factorization of 119 is 7 x 17
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(487, 983) = 478721
GCD(487, 983) = ( 487 x 983 ) / 478721
GCD(487, 983) = 478721 / 478721
GCD(487, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 487, 983, 49, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 983, 49, 119?
GCD of 487, 983, 49, 119 is 1
2. Where do I get the detailed procedure to find GCD of 487, 983, 49, 119?
You can find a detailed procedure to find GCD of 487, 983, 49, 119 on our page.
3. How to find GCD of 487, 983, 49, 119 on a calculator?
You can find the GCD of 487, 983, 49, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.