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 83, 918, 964, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 918, 964, 844 is 1
GCD(83, 918, 964, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 918, 964, 844 is 1
GCD(83, 918, 964, 844) = 1
Given Input numbers are 83, 918, 964, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 83, 918, 964, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 918, 964, 844 is 1.
Therefore, GCD of numbers 83, 918, 964, 844 is 1
Given Input Data is 83, 918, 964, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 844 is 2 x 2 x 211
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(83, 918) = 76194
GCD(83, 918) = ( 83 x 918 ) / 76194
GCD(83, 918) = 76194 / 76194
GCD(83, 918) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 83, 918, 964, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 918, 964, 844?
GCD of 83, 918, 964, 844 is 1
2. Where do I get the detailed procedure to find GCD of 83, 918, 964, 844?
You can find a detailed procedure to find GCD of 83, 918, 964, 844 on our page.
3. How to find GCD of 83, 918, 964, 844 on a calculator?
You can find the GCD of 83, 918, 964, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.