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 822, 208, 26, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 208, 26, 651 is 1
GCD(822, 208, 26, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 208, 26, 651 is 1
GCD(822, 208, 26, 651) = 1
Given Input numbers are 822, 208, 26, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 822, 208, 26, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 208, 26, 651 is 1.
Therefore, GCD of numbers 822, 208, 26, 651 is 1
Given Input Data is 822, 208, 26, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 26 is 2 x 13
Prime Factorization of 651 is 3 x 7 x 31
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(822, 208) = 85488
GCD(822, 208) = ( 822 x 208 ) / 85488
GCD(822, 208) = 170976 / 85488
GCD(822, 208) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 651) = 1302
GCD(2, 651) = ( 2 x 651 ) / 1302
GCD(2, 651) = 1302 / 1302
GCD(2, 651) = 1
GCD of 822, 208, 26, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 208, 26, 651?
GCD of 822, 208, 26, 651 is 1
2. Where do I get the detailed procedure to find GCD of 822, 208, 26, 651?
You can find a detailed procedure to find GCD of 822, 208, 26, 651 on our page.
3. How to find GCD of 822, 208, 26, 651 on a calculator?
You can find the GCD of 822, 208, 26, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.