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 271, 749, 343, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 271, 749, 343, 646 is 1
GCD(271, 749, 343, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 271, 749, 343, 646 is 1
GCD(271, 749, 343, 646) = 1
Given Input numbers are 271, 749, 343, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 271, 749, 343, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 749, 343, 646 is 1.
Therefore, GCD of numbers 271, 749, 343, 646 is 1
Given Input Data is 271, 749, 343, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 271 is 271
Prime Factorization of 749 is 7 x 107
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 646 is 2 x 17 x 19
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(271, 749) = 202979
GCD(271, 749) = ( 271 x 749 ) / 202979
GCD(271, 749) = 202979 / 202979
GCD(271, 749) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 271, 749, 343, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 271, 749, 343, 646?
GCD of 271, 749, 343, 646 is 1
2. Where do I get the detailed procedure to find GCD of 271, 749, 343, 646?
You can find a detailed procedure to find GCD of 271, 749, 343, 646 on our page.
3. How to find GCD of 271, 749, 343, 646 on a calculator?
You can find the GCD of 271, 749, 343, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.