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 395, 598, 921, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 598, 921, 851 is 1
GCD(395, 598, 921, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 598, 921, 851 is 1
GCD(395, 598, 921, 851) = 1
Given Input numbers are 395, 598, 921, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 395, 598, 921, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 598, 921, 851 is 1.
Therefore, GCD of numbers 395, 598, 921, 851 is 1
Given Input Data is 395, 598, 921, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 921 is 3 x 307
Prime Factorization of 851 is 23 x 37
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(395, 598) = 236210
GCD(395, 598) = ( 395 x 598 ) / 236210
GCD(395, 598) = 236210 / 236210
GCD(395, 598) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 395, 598, 921, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 598, 921, 851?
GCD of 395, 598, 921, 851 is 1
2. Where do I get the detailed procedure to find GCD of 395, 598, 921, 851?
You can find a detailed procedure to find GCD of 395, 598, 921, 851 on our page.
3. How to find GCD of 395, 598, 921, 851 on a calculator?
You can find the GCD of 395, 598, 921, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.