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, 128, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 609, 128, 105 is 1
GCD(637, 609, 128, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 609, 128, 105 is 1
GCD(637, 609, 128, 105) = 1
Given Input numbers are 637, 609, 128, 105
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 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 637, 609, 128, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 609, 128, 105 is 1.
Therefore, GCD of numbers 637, 609, 128, 105 is 1
Given Input Data is 637, 609, 128, 105
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 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 105 is 3 x 5 x 7
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 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 128) = 896
GCD(7, 128) = ( 7 x 128 ) / 896
GCD(7, 128) = 896 / 896
GCD(7, 128) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
GCD(1, 105) = 105 / 105
GCD(1, 105) = 1
GCD of 637, 609, 128, 105 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 609, 128, 105?
GCD of 637, 609, 128, 105 is 1
2. Where do I get the detailed procedure to find GCD of 637, 609, 128, 105?
You can find a detailed procedure to find GCD of 637, 609, 128, 105 on our page.
3. How to find GCD of 637, 609, 128, 105 on a calculator?
You can find the GCD of 637, 609, 128, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.