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 263, 729, 154, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 263, 729, 154, 698 is 1
GCD(263, 729, 154, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 263, 729, 154, 698 is 1
GCD(263, 729, 154, 698) = 1
Given Input numbers are 263, 729, 154, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 263, 729, 154, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 729, 154, 698 is 1.
Therefore, GCD of numbers 263, 729, 154, 698 is 1
Given Input Data is 263, 729, 154, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 263 is 263
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 698 is 2 x 349
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(263, 729) = 191727
GCD(263, 729) = ( 263 x 729 ) / 191727
GCD(263, 729) = 191727 / 191727
GCD(263, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
GCD of 263, 729, 154, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 263, 729, 154, 698?
GCD of 263, 729, 154, 698 is 1
2. Where do I get the detailed procedure to find GCD of 263, 729, 154, 698?
You can find a detailed procedure to find GCD of 263, 729, 154, 698 on our page.
3. How to find GCD of 263, 729, 154, 698 on a calculator?
You can find the GCD of 263, 729, 154, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.