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 370, 404, 168, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 404, 168, 821 is 1
GCD(370, 404, 168, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 404, 168, 821 is 1
GCD(370, 404, 168, 821) = 1
Given Input numbers are 370, 404, 168, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 370, 404, 168, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 404, 168, 821 is 1.
Therefore, GCD of numbers 370, 404, 168, 821 is 1
Given Input Data is 370, 404, 168, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 821 is 821
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(370, 404) = 74740
GCD(370, 404) = ( 370 x 404 ) / 74740
GCD(370, 404) = 149480 / 74740
GCD(370, 404) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
GCD(2, 168) = 336 / 168
GCD(2, 168) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
GCD of 370, 404, 168, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 404, 168, 821?
GCD of 370, 404, 168, 821 is 1
2. Where do I get the detailed procedure to find GCD of 370, 404, 168, 821?
You can find a detailed procedure to find GCD of 370, 404, 168, 821 on our page.
3. How to find GCD of 370, 404, 168, 821 on a calculator?
You can find the GCD of 370, 404, 168, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.