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 392, 569, 698, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 392, 569, 698, 319 is 1
GCD(392, 569, 698, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 392, 569, 698, 319 is 1
GCD(392, 569, 698, 319) = 1
Given Input numbers are 392, 569, 698, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 392, 569, 698, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 569, 698, 319 is 1.
Therefore, GCD of numbers 392, 569, 698, 319 is 1
Given Input Data is 392, 569, 698, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 569 is 569
Prime Factorization of 698 is 2 x 349
Prime Factorization of 319 is 11 x 29
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(392, 569) = 223048
GCD(392, 569) = ( 392 x 569 ) / 223048
GCD(392, 569) = 223048 / 223048
GCD(392, 569) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 392, 569, 698, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 392, 569, 698, 319?
GCD of 392, 569, 698, 319 is 1
2. Where do I get the detailed procedure to find GCD of 392, 569, 698, 319?
You can find a detailed procedure to find GCD of 392, 569, 698, 319 on our page.
3. How to find GCD of 392, 569, 698, 319 on a calculator?
You can find the GCD of 392, 569, 698, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.