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 681, 164, 45, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 681, 164, 45, 200 is 1
GCD(681, 164, 45, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 164, 45, 200 is 1
GCD(681, 164, 45, 200) = 1
Given Input numbers are 681, 164, 45, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 681, 164, 45, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 164, 45, 200 is 1.
Therefore, GCD of numbers 681, 164, 45, 200 is 1
Given Input Data is 681, 164, 45, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 200 is 2 x 2 x 2 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(681, 164) = 111684
GCD(681, 164) = ( 681 x 164 ) / 111684
GCD(681, 164) = 111684 / 111684
GCD(681, 164) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 681, 164, 45, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 164, 45, 200?
GCD of 681, 164, 45, 200 is 1
2. Where do I get the detailed procedure to find GCD of 681, 164, 45, 200?
You can find a detailed procedure to find GCD of 681, 164, 45, 200 on our page.
3. How to find GCD of 681, 164, 45, 200 on a calculator?
You can find the GCD of 681, 164, 45, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.