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, 258, 636, 688 i.e. 2 largest integer that divides all the numbers equally.
GCD of 82, 258, 636, 688 is 2
GCD(82, 258, 636, 688) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 258, 636, 688 is 2
GCD(82, 258, 636, 688) = 2
Given Input numbers are 82, 258, 636, 688
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 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
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 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 82, 258, 636, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 258, 636, 688 is 2.
Therefore, GCD of numbers 82, 258, 636, 688 is 2
Given Input Data is 82, 258, 636, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 258) = 10578
GCD(82, 258) = ( 82 x 258 ) / 10578
GCD(82, 258) = 21156 / 10578
GCD(82, 258) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
GCD(2, 636) = 1272 / 636
GCD(2, 636) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
GCD(2, 688) = 1376 / 688
GCD(2, 688) = 2
GCD of 82, 258, 636, 688 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 258, 636, 688?
GCD of 82, 258, 636, 688 is 2
2. Where do I get the detailed procedure to find GCD of 82, 258, 636, 688?
You can find a detailed procedure to find GCD of 82, 258, 636, 688 on our page.
3. How to find GCD of 82, 258, 636, 688 on a calculator?
You can find the GCD of 82, 258, 636, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.