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 128, 245, 784, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 245, 784, 808 is 1
GCD(128, 245, 784, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 245, 784, 808 is 1
GCD(128, 245, 784, 808) = 1
Given Input numbers are 128, 245, 784, 808
To find the GCD of numbers using factoring list out all the divisors of each number
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 128, 245, 784, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 245, 784, 808 is 1.
Therefore, GCD of numbers 128, 245, 784, 808 is 1
Given Input Data is 128, 245, 784, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(128, 245) = 31360
GCD(128, 245) = ( 128 x 245 ) / 31360
GCD(128, 245) = 31360 / 31360
GCD(128, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 128, 245, 784, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 245, 784, 808?
GCD of 128, 245, 784, 808 is 1
2. Where do I get the detailed procedure to find GCD of 128, 245, 784, 808?
You can find a detailed procedure to find GCD of 128, 245, 784, 808 on our page.
3. How to find GCD of 128, 245, 784, 808 on a calculator?
You can find the GCD of 128, 245, 784, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.