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 575, 339, 11, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 339, 11, 693 is 1
GCD(575, 339, 11, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 339, 11, 693 is 1
GCD(575, 339, 11, 693) = 1
Given Input numbers are 575, 339, 11, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 575, 339, 11, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 339, 11, 693 is 1.
Therefore, GCD of numbers 575, 339, 11, 693 is 1
Given Input Data is 575, 339, 11, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 339 is 3 x 113
Prime Factorization of 11 is 11
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(575, 339) = 194925
GCD(575, 339) = ( 575 x 339 ) / 194925
GCD(575, 339) = 194925 / 194925
GCD(575, 339) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 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 575, 339, 11, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 339, 11, 693?
GCD of 575, 339, 11, 693 is 1
2. Where do I get the detailed procedure to find GCD of 575, 339, 11, 693?
You can find a detailed procedure to find GCD of 575, 339, 11, 693 on our page.
3. How to find GCD of 575, 339, 11, 693 on a calculator?
You can find the GCD of 575, 339, 11, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.