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 690, 943, 11 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 943, 11 is 1
GCD(690, 943, 11) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 943, 11 is 1
GCD(690, 943, 11) = 1
Given Input numbers are 690, 943, 11
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Greatest Common Divisior
We found the divisors of 690, 943, 11 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 943, 11 is 1.
Therefore, GCD of numbers 690, 943, 11 is 1
Given Input Data is 690, 943, 11
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 943 is 23 x 41
Prime Factorization of 11 is 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(690, 943) = 28290
GCD(690, 943) = ( 690 x 943 ) / 28290
GCD(690, 943) = 650670 / 28290
GCD(690, 943) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 11) = 253
GCD(23, 11) = ( 23 x 11 ) / 253
GCD(23, 11) = 253 / 253
GCD(23, 11) = 1
GCD of 690, 943, 11 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 943, 11?
GCD of 690, 943, 11 is 1
2. Where do I get the detailed procedure to find GCD of 690, 943, 11?
You can find a detailed procedure to find GCD of 690, 943, 11 on our page.
3. How to find GCD of 690, 943, 11 on a calculator?
You can find the GCD of 690, 943, 11 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.