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 369, 895, 67, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 895, 67, 821 is 1
GCD(369, 895, 67, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 895, 67, 821 is 1
GCD(369, 895, 67, 821) = 1
Given Input numbers are 369, 895, 67, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 369, 895, 67, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 895, 67, 821 is 1.
Therefore, GCD of numbers 369, 895, 67, 821 is 1
Given Input Data is 369, 895, 67, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 895 is 5 x 179
Prime Factorization of 67 is 67
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(369, 895) = 330255
GCD(369, 895) = ( 369 x 895 ) / 330255
GCD(369, 895) = 330255 / 330255
GCD(369, 895) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
GCD of 369, 895, 67, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 895, 67, 821?
GCD of 369, 895, 67, 821 is 1
2. Where do I get the detailed procedure to find GCD of 369, 895, 67, 821?
You can find a detailed procedure to find GCD of 369, 895, 67, 821 on our page.
3. How to find GCD of 369, 895, 67, 821 on a calculator?
You can find the GCD of 369, 895, 67, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.