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, 471, 89, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 471, 89, 707 is 1
GCD(731, 471, 89, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 471, 89, 707 is 1
GCD(731, 471, 89, 707) = 1
Given Input numbers are 731, 471, 89, 707
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 731, 471, 89, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 471, 89, 707 is 1.
Therefore, GCD of numbers 731, 471, 89, 707 is 1
Given Input Data is 731, 471, 89, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 471 is 3 x 157
Prime Factorization of 89 is 89
Prime Factorization of 707 is 7 x 101
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, 471) = 344301
GCD(731, 471) = ( 731 x 471 ) / 344301
GCD(731, 471) = 344301 / 344301
GCD(731, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 731, 471, 89, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 471, 89, 707?
GCD of 731, 471, 89, 707 is 1
2. Where do I get the detailed procedure to find GCD of 731, 471, 89, 707?
You can find a detailed procedure to find GCD of 731, 471, 89, 707 on our page.
3. How to find GCD of 731, 471, 89, 707 on a calculator?
You can find the GCD of 731, 471, 89, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.