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 697, 513, 913, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 513, 913, 693 is 1
GCD(697, 513, 913, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 513, 913, 693 is 1
GCD(697, 513, 913, 693) = 1
Given Input numbers are 697, 513, 913, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 697, 513, 913, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 513, 913, 693 is 1.
Therefore, GCD of numbers 697, 513, 913, 693 is 1
Given Input Data is 697, 513, 913, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 913 is 11 x 83
Prime Factorization of 693 is 3 x 3 x 7 x 11
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(697, 513) = 357561
GCD(697, 513) = ( 697 x 513 ) / 357561
GCD(697, 513) = 357561 / 357561
GCD(697, 513) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 697, 513, 913, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 513, 913, 693?
GCD of 697, 513, 913, 693 is 1
2. Where do I get the detailed procedure to find GCD of 697, 513, 913, 693?
You can find a detailed procedure to find GCD of 697, 513, 913, 693 on our page.
3. How to find GCD of 697, 513, 913, 693 on a calculator?
You can find the GCD of 697, 513, 913, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.