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, 784, 89, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 784, 89, 190 is 1
GCD(637, 784, 89, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 784, 89, 190 is 1
GCD(637, 784, 89, 190) = 1
Given Input numbers are 637, 784, 89, 190
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 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 637, 784, 89, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 784, 89, 190 is 1.
Therefore, GCD of numbers 637, 784, 89, 190 is 1
Given Input Data is 637, 784, 89, 190
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 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 89 is 89
Prime Factorization of 190 is 2 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(637, 784) = 10192
GCD(637, 784) = ( 637 x 784 ) / 10192
GCD(637, 784) = 499408 / 10192
GCD(637, 784) = 49
Step2:
Here we consider the GCD from the above i.e. 49 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(49, 89) = 4361
GCD(49, 89) = ( 49 x 89 ) / 4361
GCD(49, 89) = 4361 / 4361
GCD(49, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 637, 784, 89, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 784, 89, 190?
GCD of 637, 784, 89, 190 is 1
2. Where do I get the detailed procedure to find GCD of 637, 784, 89, 190?
You can find a detailed procedure to find GCD of 637, 784, 89, 190 on our page.
3. How to find GCD of 637, 784, 89, 190 on a calculator?
You can find the GCD of 637, 784, 89, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.