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 996, 606, 523, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 606, 523, 764 is 1
GCD(996, 606, 523, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 606, 523, 764 is 1
GCD(996, 606, 523, 764) = 1
Given Input numbers are 996, 606, 523, 764
To find the GCD of numbers using factoring list out all the divisors of each number
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 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 996, 606, 523, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 606, 523, 764 is 1.
Therefore, GCD of numbers 996, 606, 523, 764 is 1
Given Input Data is 996, 606, 523, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 523 is 523
Prime Factorization of 764 is 2 x 2 x 191
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(996, 606) = 100596
GCD(996, 606) = ( 996 x 606 ) / 100596
GCD(996, 606) = 603576 / 100596
GCD(996, 606) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 523) = 3138
GCD(6, 523) = ( 6 x 523 ) / 3138
GCD(6, 523) = 3138 / 3138
GCD(6, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 996, 606, 523, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 606, 523, 764?
GCD of 996, 606, 523, 764 is 1
2. Where do I get the detailed procedure to find GCD of 996, 606, 523, 764?
You can find a detailed procedure to find GCD of 996, 606, 523, 764 on our page.
3. How to find GCD of 996, 606, 523, 764 on a calculator?
You can find the GCD of 996, 606, 523, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.