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 407, 921, 369, 834 i.e. 1 largest integer that divides all the numbers equally.
GCD of 407, 921, 369, 834 is 1
GCD(407, 921, 369, 834) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 407, 921, 369, 834 is 1
GCD(407, 921, 369, 834) = 1
Given Input numbers are 407, 921, 369, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 407, 921, 369, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 921, 369, 834 is 1.
Therefore, GCD of numbers 407, 921, 369, 834 is 1
Given Input Data is 407, 921, 369, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 407 is 11 x 37
Prime Factorization of 921 is 3 x 307
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 834 is 2 x 3 x 139
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(407, 921) = 374847
GCD(407, 921) = ( 407 x 921 ) / 374847
GCD(407, 921) = 374847 / 374847
GCD(407, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
GCD of 407, 921, 369, 834 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 407, 921, 369, 834?
GCD of 407, 921, 369, 834 is 1
2. Where do I get the detailed procedure to find GCD of 407, 921, 369, 834?
You can find a detailed procedure to find GCD of 407, 921, 369, 834 on our page.
3. How to find GCD of 407, 921, 369, 834 on a calculator?
You can find the GCD of 407, 921, 369, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.