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 731, 667, 35, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 667, 35, 205 is 1
GCD(731, 667, 35, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 667, 35, 205 is 1
GCD(731, 667, 35, 205) = 1
Given Input numbers are 731, 667, 35, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 731, 667, 35, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 667, 35, 205 is 1.
Therefore, GCD of numbers 731, 667, 35, 205 is 1
Given Input Data is 731, 667, 35, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 667 is 23 x 29
Prime Factorization of 35 is 5 x 7
Prime Factorization of 205 is 5 x 41
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(731, 667) = 487577
GCD(731, 667) = ( 731 x 667 ) / 487577
GCD(731, 667) = 487577 / 487577
GCD(731, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 731, 667, 35, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 667, 35, 205?
GCD of 731, 667, 35, 205 is 1
2. Where do I get the detailed procedure to find GCD of 731, 667, 35, 205?
You can find a detailed procedure to find GCD of 731, 667, 35, 205 on our page.
3. How to find GCD of 731, 667, 35, 205 on a calculator?
You can find the GCD of 731, 667, 35, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.