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 737, 627, 413, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 627, 413, 609 is 1
GCD(737, 627, 413, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 627, 413, 609 is 1
GCD(737, 627, 413, 609) = 1
Given Input numbers are 737, 627, 413, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 737, 627, 413, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 627, 413, 609 is 1.
Therefore, GCD of numbers 737, 627, 413, 609 is 1
Given Input Data is 737, 627, 413, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 413 is 7 x 59
Prime Factorization of 609 is 3 x 7 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(737, 627) = 42009
GCD(737, 627) = ( 737 x 627 ) / 42009
GCD(737, 627) = 462099 / 42009
GCD(737, 627) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 413) = 4543
GCD(11, 413) = ( 11 x 413 ) / 4543
GCD(11, 413) = 4543 / 4543
GCD(11, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 737, 627, 413, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 627, 413, 609?
GCD of 737, 627, 413, 609 is 1
2. Where do I get the detailed procedure to find GCD of 737, 627, 413, 609?
You can find a detailed procedure to find GCD of 737, 627, 413, 609 on our page.
3. How to find GCD of 737, 627, 413, 609 on a calculator?
You can find the GCD of 737, 627, 413, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.