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 498, 756, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 756, 343 is 1
GCD(498, 756, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 756, 343 is 1
GCD(498, 756, 343) = 1
Given Input numbers are 498, 756, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 498, 756, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 756, 343 is 1.
Therefore, GCD of numbers 498, 756, 343 is 1
Given Input Data is 498, 756, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 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(498, 756) = 62748
GCD(498, 756) = ( 498 x 756 ) / 62748
GCD(498, 756) = 376488 / 62748
GCD(498, 756) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 343) = 2058
GCD(6, 343) = ( 6 x 343 ) / 2058
GCD(6, 343) = 2058 / 2058
GCD(6, 343) = 1
GCD of 498, 756, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 756, 343?
GCD of 498, 756, 343 is 1
2. Where do I get the detailed procedure to find GCD of 498, 756, 343?
You can find a detailed procedure to find GCD of 498, 756, 343 on our page.
3. How to find GCD of 498, 756, 343 on a calculator?
You can find the GCD of 498, 756, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.