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 231, 362, 690, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 362, 690, 521 is 1
GCD(231, 362, 690, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 362, 690, 521 is 1
GCD(231, 362, 690, 521) = 1
Given Input numbers are 231, 362, 690, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
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 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 231, 362, 690, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 362, 690, 521 is 1.
Therefore, GCD of numbers 231, 362, 690, 521 is 1
Given Input Data is 231, 362, 690, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 362 is 2 x 181
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 521 is 521
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(231, 362) = 83622
GCD(231, 362) = ( 231 x 362 ) / 83622
GCD(231, 362) = 83622 / 83622
GCD(231, 362) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 231, 362, 690, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 362, 690, 521?
GCD of 231, 362, 690, 521 is 1
2. Where do I get the detailed procedure to find GCD of 231, 362, 690, 521?
You can find a detailed procedure to find GCD of 231, 362, 690, 521 on our page.
3. How to find GCD of 231, 362, 690, 521 on a calculator?
You can find the GCD of 231, 362, 690, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.