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 987, 684, 68, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 684, 68, 949 is 1
GCD(987, 684, 68, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 684, 68, 949 is 1
GCD(987, 684, 68, 949) = 1
Given Input numbers are 987, 684, 68, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 987, 684, 68, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 684, 68, 949 is 1.
Therefore, GCD of numbers 987, 684, 68, 949 is 1
Given Input Data is 987, 684, 68, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 949 is 13 x 73
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(987, 684) = 225036
GCD(987, 684) = ( 987 x 684 ) / 225036
GCD(987, 684) = 675108 / 225036
GCD(987, 684) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
GCD(3, 68) = 204 / 204
GCD(3, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 987, 684, 68, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 684, 68, 949?
GCD of 987, 684, 68, 949 is 1
2. Where do I get the detailed procedure to find GCD of 987, 684, 68, 949?
You can find a detailed procedure to find GCD of 987, 684, 68, 949 on our page.
3. How to find GCD of 987, 684, 68, 949 on a calculator?
You can find the GCD of 987, 684, 68, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.