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 82, 783, 996, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 783, 996, 776 is 1
GCD(82, 783, 996, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 783, 996, 776 is 1
GCD(82, 783, 996, 776) = 1
Given Input numbers are 82, 783, 996, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
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 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 82, 783, 996, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 783, 996, 776 is 1.
Therefore, GCD of numbers 82, 783, 996, 776 is 1
Given Input Data is 82, 783, 996, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(82, 783) = 64206
GCD(82, 783) = ( 82 x 783 ) / 64206
GCD(82, 783) = 64206 / 64206
GCD(82, 783) = 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 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 82, 783, 996, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 783, 996, 776?
GCD of 82, 783, 996, 776 is 1
2. Where do I get the detailed procedure to find GCD of 82, 783, 996, 776?
You can find a detailed procedure to find GCD of 82, 783, 996, 776 on our page.
3. How to find GCD of 82, 783, 996, 776 on a calculator?
You can find the GCD of 82, 783, 996, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.