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, 565, 14, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 565, 14, 637 is 1
GCD(731, 565, 14, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 565, 14, 637 is 1
GCD(731, 565, 14, 637) = 1
Given Input numbers are 731, 565, 14, 637
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 731, 565, 14, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 565, 14, 637 is 1.
Therefore, GCD of numbers 731, 565, 14, 637 is 1
Given Input Data is 731, 565, 14, 637
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 565 is 5 x 113
Prime Factorization of 14 is 2 x 7
Prime Factorization of 637 is 7 x 7 x 13
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, 565) = 413015
GCD(731, 565) = ( 731 x 565 ) / 413015
GCD(731, 565) = 413015 / 413015
GCD(731, 565) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
GCD of 731, 565, 14, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 565, 14, 637?
GCD of 731, 565, 14, 637 is 1
2. Where do I get the detailed procedure to find GCD of 731, 565, 14, 637?
You can find a detailed procedure to find GCD of 731, 565, 14, 637 on our page.
3. How to find GCD of 731, 565, 14, 637 on a calculator?
You can find the GCD of 731, 565, 14, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.