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 734, 558, 413, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 558, 413, 855 is 1
GCD(734, 558, 413, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 558, 413, 855 is 1
GCD(734, 558, 413, 855) = 1
Given Input numbers are 734, 558, 413, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 734, 558, 413, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 558, 413, 855 is 1.
Therefore, GCD of numbers 734, 558, 413, 855 is 1
Given Input Data is 734, 558, 413, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 413 is 7 x 59
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(734, 558) = 204786
GCD(734, 558) = ( 734 x 558 ) / 204786
GCD(734, 558) = 409572 / 204786
GCD(734, 558) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
GCD(2, 413) = 826 / 826
GCD(2, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 734, 558, 413, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 558, 413, 855?
GCD of 734, 558, 413, 855 is 1
2. Where do I get the detailed procedure to find GCD of 734, 558, 413, 855?
You can find a detailed procedure to find GCD of 734, 558, 413, 855 on our page.
3. How to find GCD of 734, 558, 413, 855 on a calculator?
You can find the GCD of 734, 558, 413, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.