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 986, 224, 962, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 224, 962, 999 is 1
GCD(986, 224, 962, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 224, 962, 999 is 1
GCD(986, 224, 962, 999) = 1
Given Input numbers are 986, 224, 962, 999
To find the GCD of numbers using factoring list out all the divisors of each number
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 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 986, 224, 962, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 224, 962, 999 is 1.
Therefore, GCD of numbers 986, 224, 962, 999 is 1
Given Input Data is 986, 224, 962, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(986, 224) = 110432
GCD(986, 224) = ( 986 x 224 ) / 110432
GCD(986, 224) = 220864 / 110432
GCD(986, 224) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
GCD(2, 962) = 1924 / 962
GCD(2, 962) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 999) = 1998
GCD(2, 999) = ( 2 x 999 ) / 1998
GCD(2, 999) = 1998 / 1998
GCD(2, 999) = 1
GCD of 986, 224, 962, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 224, 962, 999?
GCD of 986, 224, 962, 999 is 1
2. Where do I get the detailed procedure to find GCD of 986, 224, 962, 999?
You can find a detailed procedure to find GCD of 986, 224, 962, 999 on our page.
3. How to find GCD of 986, 224, 962, 999 on a calculator?
You can find the GCD of 986, 224, 962, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.