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 63, 826, 698, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 826, 698, 230 is 1
GCD(63, 826, 698, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 826, 698, 230 is 1
GCD(63, 826, 698, 230) = 1
Given Input numbers are 63, 826, 698, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 63, 826, 698, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 826, 698, 230 is 1.
Therefore, GCD of numbers 63, 826, 698, 230 is 1
Given Input Data is 63, 826, 698, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 698 is 2 x 349
Prime Factorization of 230 is 2 x 5 x 23
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(63, 826) = 7434
GCD(63, 826) = ( 63 x 826 ) / 7434
GCD(63, 826) = 52038 / 7434
GCD(63, 826) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 698) = 4886
GCD(7, 698) = ( 7 x 698 ) / 4886
GCD(7, 698) = 4886 / 4886
GCD(7, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 230) = 230
GCD(1, 230) = ( 1 x 230 ) / 230
GCD(1, 230) = 230 / 230
GCD(1, 230) = 1
GCD of 63, 826, 698, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 826, 698, 230?
GCD of 63, 826, 698, 230 is 1
2. Where do I get the detailed procedure to find GCD of 63, 826, 698, 230?
You can find a detailed procedure to find GCD of 63, 826, 698, 230 on our page.
3. How to find GCD of 63, 826, 698, 230 on a calculator?
You can find the GCD of 63, 826, 698, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.