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 149, 293, 803, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 293, 803, 729 is 1
GCD(149, 293, 803, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 293, 803, 729 is 1
GCD(149, 293, 803, 729) = 1
Given Input numbers are 149, 293, 803, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 149, 293, 803, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 293, 803, 729 is 1.
Therefore, GCD of numbers 149, 293, 803, 729 is 1
Given Input Data is 149, 293, 803, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 293 is 293
Prime Factorization of 803 is 11 x 73
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(149, 293) = 43657
GCD(149, 293) = ( 149 x 293 ) / 43657
GCD(149, 293) = 43657 / 43657
GCD(149, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 149, 293, 803, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 293, 803, 729?
GCD of 149, 293, 803, 729 is 1
2. Where do I get the detailed procedure to find GCD of 149, 293, 803, 729?
You can find a detailed procedure to find GCD of 149, 293, 803, 729 on our page.
3. How to find GCD of 149, 293, 803, 729 on a calculator?
You can find the GCD of 149, 293, 803, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.