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 782, 729, 196, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 729, 196, 343 is 1
GCD(782, 729, 196, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 729, 196, 343 is 1
GCD(782, 729, 196, 343) = 1
Given Input numbers are 782, 729, 196, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
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 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 782, 729, 196, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 729, 196, 343 is 1.
Therefore, GCD of numbers 782, 729, 196, 343 is 1
Given Input Data is 782, 729, 196, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 343 is 7 x 7 x 7
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(782, 729) = 570078
GCD(782, 729) = ( 782 x 729 ) / 570078
GCD(782, 729) = 570078 / 570078
GCD(782, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 782, 729, 196, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 729, 196, 343?
GCD of 782, 729, 196, 343 is 1
2. Where do I get the detailed procedure to find GCD of 782, 729, 196, 343?
You can find a detailed procedure to find GCD of 782, 729, 196, 343 on our page.
3. How to find GCD of 782, 729, 196, 343 on a calculator?
You can find the GCD of 782, 729, 196, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.