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, 636, 577, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 636, 577, 677 is 1
GCD(82, 636, 577, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 636, 577, 677 is 1
GCD(82, 636, 577, 677) = 1
Given Input numbers are 82, 636, 577, 677
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 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 82, 636, 577, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 636, 577, 677 is 1.
Therefore, GCD of numbers 82, 636, 577, 677 is 1
Given Input Data is 82, 636, 577, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 577 is 577
Prime Factorization of 677 is 677
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, 636) = 26076
GCD(82, 636) = ( 82 x 636 ) / 26076
GCD(82, 636) = 52152 / 26076
GCD(82, 636) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 577) = 1154
GCD(2, 577) = ( 2 x 577 ) / 1154
GCD(2, 577) = 1154 / 1154
GCD(2, 577) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 82, 636, 577, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 636, 577, 677?
GCD of 82, 636, 577, 677 is 1
2. Where do I get the detailed procedure to find GCD of 82, 636, 577, 677?
You can find a detailed procedure to find GCD of 82, 636, 577, 677 on our page.
3. How to find GCD of 82, 636, 577, 677 on a calculator?
You can find the GCD of 82, 636, 577, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.