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, 107, 788, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 107, 788, 336 is 1
GCD(82, 107, 788, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 107, 788, 336 is 1
GCD(82, 107, 788, 336) = 1
Given Input numbers are 82, 107, 788, 336
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 82, 107, 788, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 107, 788, 336 is 1.
Therefore, GCD of numbers 82, 107, 788, 336 is 1
Given Input Data is 82, 107, 788, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 107 is 107
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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, 107) = 8774
GCD(82, 107) = ( 82 x 107 ) / 8774
GCD(82, 107) = 8774 / 8774
GCD(82, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 82, 107, 788, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 107, 788, 336?
GCD of 82, 107, 788, 336 is 1
2. Where do I get the detailed procedure to find GCD of 82, 107, 788, 336?
You can find a detailed procedure to find GCD of 82, 107, 788, 336 on our page.
3. How to find GCD of 82, 107, 788, 336 on a calculator?
You can find the GCD of 82, 107, 788, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.