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 486, 691, 21, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 691, 21, 172 is 1
GCD(486, 691, 21, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 691, 21, 172 is 1
GCD(486, 691, 21, 172) = 1
Given Input numbers are 486, 691, 21, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 486, 691, 21, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 691, 21, 172 is 1.
Therefore, GCD of numbers 486, 691, 21, 172 is 1
Given Input Data is 486, 691, 21, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 691 is 691
Prime Factorization of 21 is 3 x 7
Prime Factorization of 172 is 2 x 2 x 43
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(486, 691) = 335826
GCD(486, 691) = ( 486 x 691 ) / 335826
GCD(486, 691) = 335826 / 335826
GCD(486, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 486, 691, 21, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 691, 21, 172?
GCD of 486, 691, 21, 172 is 1
2. Where do I get the detailed procedure to find GCD of 486, 691, 21, 172?
You can find a detailed procedure to find GCD of 486, 691, 21, 172 on our page.
3. How to find GCD of 486, 691, 21, 172 on a calculator?
You can find the GCD of 486, 691, 21, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.