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 983, 967, 784, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 967, 784, 195 is 1
GCD(983, 967, 784, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 967, 784, 195 is 1
GCD(983, 967, 784, 195) = 1
Given Input numbers are 983, 967, 784, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 983, 967, 784, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 967, 784, 195 is 1.
Therefore, GCD of numbers 983, 967, 784, 195 is 1
Given Input Data is 983, 967, 784, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 967 is 967
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 195 is 3 x 5 x 13
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(983, 967) = 950561
GCD(983, 967) = ( 983 x 967 ) / 950561
GCD(983, 967) = 950561 / 950561
GCD(983, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 983, 967, 784, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 967, 784, 195?
GCD of 983, 967, 784, 195 is 1
2. Where do I get the detailed procedure to find GCD of 983, 967, 784, 195?
You can find a detailed procedure to find GCD of 983, 967, 784, 195 on our page.
3. How to find GCD of 983, 967, 784, 195 on a calculator?
You can find the GCD of 983, 967, 784, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.