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, 773, 76, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 773, 76, 426 is 1
GCD(992, 773, 76, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 773, 76, 426 is 1
GCD(992, 773, 76, 426) = 1
Given Input numbers are 992, 773, 76, 426
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 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 992, 773, 76, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 773, 76, 426 is 1.
Therefore, GCD of numbers 992, 773, 76, 426 is 1
Given Input Data is 992, 773, 76, 426
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 773 is 773
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 426 is 2 x 3 x 71
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, 773) = 766816
GCD(992, 773) = ( 992 x 773 ) / 766816
GCD(992, 773) = 766816 / 766816
GCD(992, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 992, 773, 76, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 773, 76, 426?
GCD of 992, 773, 76, 426 is 1
2. Where do I get the detailed procedure to find GCD of 992, 773, 76, 426?
You can find a detailed procedure to find GCD of 992, 773, 76, 426 on our page.
3. How to find GCD of 992, 773, 76, 426 on a calculator?
You can find the GCD of 992, 773, 76, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.