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 663, 681, 36, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 681, 36, 125 is 1
GCD(663, 681, 36, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 681, 36, 125 is 1
GCD(663, 681, 36, 125) = 1
Given Input numbers are 663, 681, 36, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 663, 681, 36, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 681, 36, 125 is 1.
Therefore, GCD of numbers 663, 681, 36, 125 is 1
Given Input Data is 663, 681, 36, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 681 is 3 x 227
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 125 is 5 x 5 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(663, 681) = 150501
GCD(663, 681) = ( 663 x 681 ) / 150501
GCD(663, 681) = 451503 / 150501
GCD(663, 681) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 125) = 375
GCD(3, 125) = ( 3 x 125 ) / 375
GCD(3, 125) = 375 / 375
GCD(3, 125) = 1
GCD of 663, 681, 36, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 681, 36, 125?
GCD of 663, 681, 36, 125 is 1
2. Where do I get the detailed procedure to find GCD of 663, 681, 36, 125?
You can find a detailed procedure to find GCD of 663, 681, 36, 125 on our page.
3. How to find GCD of 663, 681, 36, 125 on a calculator?
You can find the GCD of 663, 681, 36, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.