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 181, 821, 42, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 181, 821, 42, 800 is 1
GCD(181, 821, 42, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 181, 821, 42, 800 is 1
GCD(181, 821, 42, 800) = 1
Given Input numbers are 181, 821, 42, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 181, 821, 42, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 181, 821, 42, 800 is 1.
Therefore, GCD of numbers 181, 821, 42, 800 is 1
Given Input Data is 181, 821, 42, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 181 is 181
Prime Factorization of 821 is 821
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 800 is 2 x 2 x 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(181, 821) = 148601
GCD(181, 821) = ( 181 x 821 ) / 148601
GCD(181, 821) = 148601 / 148601
GCD(181, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 181, 821, 42, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 181, 821, 42, 800?
GCD of 181, 821, 42, 800 is 1
2. Where do I get the detailed procedure to find GCD of 181, 821, 42, 800?
You can find a detailed procedure to find GCD of 181, 821, 42, 800 on our page.
3. How to find GCD of 181, 821, 42, 800 on a calculator?
You can find the GCD of 181, 821, 42, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.