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 992, 325, 996, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 325, 996, 653 is 1
GCD(992, 325, 996, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 325, 996, 653 is 1
GCD(992, 325, 996, 653) = 1
Given Input numbers are 992, 325, 996, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 992, 325, 996, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 325, 996, 653 is 1.
Therefore, GCD of numbers 992, 325, 996, 653 is 1
Given Input Data is 992, 325, 996, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 653 is 653
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(992, 325) = 322400
GCD(992, 325) = ( 992 x 325 ) / 322400
GCD(992, 325) = 322400 / 322400
GCD(992, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 992, 325, 996, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 325, 996, 653?
GCD of 992, 325, 996, 653 is 1
2. Where do I get the detailed procedure to find GCD of 992, 325, 996, 653?
You can find a detailed procedure to find GCD of 992, 325, 996, 653 on our page.
3. How to find GCD of 992, 325, 996, 653 on a calculator?
You can find the GCD of 992, 325, 996, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.