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 398, 551, 384, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 551, 384, 709 is 1
GCD(398, 551, 384, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 551, 384, 709 is 1
GCD(398, 551, 384, 709) = 1
Given Input numbers are 398, 551, 384, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 398, 551, 384, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 551, 384, 709 is 1.
Therefore, GCD of numbers 398, 551, 384, 709 is 1
Given Input Data is 398, 551, 384, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 551 is 19 x 29
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 709 is 709
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(398, 551) = 219298
GCD(398, 551) = ( 398 x 551 ) / 219298
GCD(398, 551) = 219298 / 219298
GCD(398, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 398, 551, 384, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 551, 384, 709?
GCD of 398, 551, 384, 709 is 1
2. Where do I get the detailed procedure to find GCD of 398, 551, 384, 709?
You can find a detailed procedure to find GCD of 398, 551, 384, 709 on our page.
3. How to find GCD of 398, 551, 384, 709 on a calculator?
You can find the GCD of 398, 551, 384, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.