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 656, 784, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 656, 784, 155 is 1
GCD(656, 784, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 784, 155 is 1
GCD(656, 784, 155) = 1
Given Input numbers are 656, 784, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
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 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 656, 784, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 784, 155 is 1.
Therefore, GCD of numbers 656, 784, 155 is 1
Given Input Data is 656, 784, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 155 is 5 x 31
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(656, 784) = 32144
GCD(656, 784) = ( 656 x 784 ) / 32144
GCD(656, 784) = 514304 / 32144
GCD(656, 784) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 155) = 2480
GCD(16, 155) = ( 16 x 155 ) / 2480
GCD(16, 155) = 2480 / 2480
GCD(16, 155) = 1
GCD of 656, 784, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 656, 784, 155?
GCD of 656, 784, 155 is 1
2. Where do I get the detailed procedure to find GCD of 656, 784, 155?
You can find a detailed procedure to find GCD of 656, 784, 155 on our page.
3. How to find GCD of 656, 784, 155 on a calculator?
You can find the GCD of 656, 784, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.