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 713, 499, 346, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 499, 346, 197 is 1
GCD(713, 499, 346, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 499, 346, 197 is 1
GCD(713, 499, 346, 197) = 1
Given Input numbers are 713, 499, 346, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 713, 499, 346, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 499, 346, 197 is 1.
Therefore, GCD of numbers 713, 499, 346, 197 is 1
Given Input Data is 713, 499, 346, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 499 is 499
Prime Factorization of 346 is 2 x 173
Prime Factorization of 197 is 197
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(713, 499) = 355787
GCD(713, 499) = ( 713 x 499 ) / 355787
GCD(713, 499) = 355787 / 355787
GCD(713, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 713, 499, 346, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 499, 346, 197?
GCD of 713, 499, 346, 197 is 1
2. Where do I get the detailed procedure to find GCD of 713, 499, 346, 197?
You can find a detailed procedure to find GCD of 713, 499, 346, 197 on our page.
3. How to find GCD of 713, 499, 346, 197 on a calculator?
You can find the GCD of 713, 499, 346, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.