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 676, 646, 337, 727 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 646, 337, 727 is 1
GCD(676, 646, 337, 727) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 646, 337, 727 is 1
GCD(676, 646, 337, 727) = 1
Given Input numbers are 676, 646, 337, 727
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Greatest Common Divisior
We found the divisors of 676, 646, 337, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 646, 337, 727 is 1.
Therefore, GCD of numbers 676, 646, 337, 727 is 1
Given Input Data is 676, 646, 337, 727
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 337 is 337
Prime Factorization of 727 is 727
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(676, 646) = 218348
GCD(676, 646) = ( 676 x 646 ) / 218348
GCD(676, 646) = 436696 / 218348
GCD(676, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 337) = 674
GCD(2, 337) = ( 2 x 337 ) / 674
GCD(2, 337) = 674 / 674
GCD(2, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 727) = 727
GCD(1, 727) = ( 1 x 727 ) / 727
GCD(1, 727) = 727 / 727
GCD(1, 727) = 1
GCD of 676, 646, 337, 727 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 646, 337, 727?
GCD of 676, 646, 337, 727 is 1
2. Where do I get the detailed procedure to find GCD of 676, 646, 337, 727?
You can find a detailed procedure to find GCD of 676, 646, 337, 727 on our page.
3. How to find GCD of 676, 646, 337, 727 on a calculator?
You can find the GCD of 676, 646, 337, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.