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 682, 541, 90 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 541, 90 is 1
GCD(682, 541, 90) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 541, 90 is 1
GCD(682, 541, 90) = 1
Given Input numbers are 682, 541, 90
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 682, 541, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 541, 90 is 1.
Therefore, GCD of numbers 682, 541, 90 is 1
Given Input Data is 682, 541, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 541 is 541
Prime Factorization of 90 is 2 x 3 x 3 x 5
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(682, 541) = 368962
GCD(682, 541) = ( 682 x 541 ) / 368962
GCD(682, 541) = 368962 / 368962
GCD(682, 541) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
GCD of 682, 541, 90 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 541, 90?
GCD of 682, 541, 90 is 1
2. Where do I get the detailed procedure to find GCD of 682, 541, 90?
You can find a detailed procedure to find GCD of 682, 541, 90 on our page.
3. How to find GCD of 682, 541, 90 on a calculator?
You can find the GCD of 682, 541, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.