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 609, 727, 472, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 609, 727, 472, 974 is 1
GCD(609, 727, 472, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 727, 472, 974 is 1
GCD(609, 727, 472, 974) = 1
Given Input numbers are 609, 727, 472, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 609, 727, 472, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 727, 472, 974 is 1.
Therefore, GCD of numbers 609, 727, 472, 974 is 1
Given Input Data is 609, 727, 472, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 727 is 727
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 974 is 2 x 487
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(609, 727) = 442743
GCD(609, 727) = ( 609 x 727 ) / 442743
GCD(609, 727) = 442743 / 442743
GCD(609, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 609, 727, 472, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 727, 472, 974?
GCD of 609, 727, 472, 974 is 1
2. Where do I get the detailed procedure to find GCD of 609, 727, 472, 974?
You can find a detailed procedure to find GCD of 609, 727, 472, 974 on our page.
3. How to find GCD of 609, 727, 472, 974 on a calculator?
You can find the GCD of 609, 727, 472, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.