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 43, 697, 353, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 697, 353, 167 is 1
GCD(43, 697, 353, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 697, 353, 167 is 1
GCD(43, 697, 353, 167) = 1
Given Input numbers are 43, 697, 353, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 43, 697, 353, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 697, 353, 167 is 1.
Therefore, GCD of numbers 43, 697, 353, 167 is 1
Given Input Data is 43, 697, 353, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 697 is 17 x 41
Prime Factorization of 353 is 353
Prime Factorization of 167 is 167
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(43, 697) = 29971
GCD(43, 697) = ( 43 x 697 ) / 29971
GCD(43, 697) = 29971 / 29971
GCD(43, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 43, 697, 353, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 697, 353, 167?
GCD of 43, 697, 353, 167 is 1
2. Where do I get the detailed procedure to find GCD of 43, 697, 353, 167?
You can find a detailed procedure to find GCD of 43, 697, 353, 167 on our page.
3. How to find GCD of 43, 697, 353, 167 on a calculator?
You can find the GCD of 43, 697, 353, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.