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 637, 609, 753, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 609, 753, 440 is 1
GCD(637, 609, 753, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 609, 753, 440 is 1
GCD(637, 609, 753, 440) = 1
Given Input numbers are 637, 609, 753, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 637, 609, 753, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 609, 753, 440 is 1.
Therefore, GCD of numbers 637, 609, 753, 440 is 1
Given Input Data is 637, 609, 753, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 753 is 3 x 251
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(637, 609) = 55419
GCD(637, 609) = ( 637 x 609 ) / 55419
GCD(637, 609) = 387933 / 55419
GCD(637, 609) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 753) = 5271
GCD(7, 753) = ( 7 x 753 ) / 5271
GCD(7, 753) = 5271 / 5271
GCD(7, 753) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 637, 609, 753, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 609, 753, 440?
GCD of 637, 609, 753, 440 is 1
2. Where do I get the detailed procedure to find GCD of 637, 609, 753, 440?
You can find a detailed procedure to find GCD of 637, 609, 753, 440 on our page.
3. How to find GCD of 637, 609, 753, 440 on a calculator?
You can find the GCD of 637, 609, 753, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.