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 629, 680, 822, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 629, 680, 822, 202 is 1
GCD(629, 680, 822, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 629, 680, 822, 202 is 1
GCD(629, 680, 822, 202) = 1
Given Input numbers are 629, 680, 822, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 629, 680, 822, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 680, 822, 202 is 1.
Therefore, GCD of numbers 629, 680, 822, 202 is 1
Given Input Data is 629, 680, 822, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 629 is 17 x 37
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 202 is 2 x 101
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(629, 680) = 25160
GCD(629, 680) = ( 629 x 680 ) / 25160
GCD(629, 680) = 427720 / 25160
GCD(629, 680) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 822) = 13974
GCD(17, 822) = ( 17 x 822 ) / 13974
GCD(17, 822) = 13974 / 13974
GCD(17, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 629, 680, 822, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 629, 680, 822, 202?
GCD of 629, 680, 822, 202 is 1
2. Where do I get the detailed procedure to find GCD of 629, 680, 822, 202?
You can find a detailed procedure to find GCD of 629, 680, 822, 202 on our page.
3. How to find GCD of 629, 680, 822, 202 on a calculator?
You can find the GCD of 629, 680, 822, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.