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 56, 190, 677, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 190, 677, 323 is 1
GCD(56, 190, 677, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 190, 677, 323 is 1
GCD(56, 190, 677, 323) = 1
Given Input numbers are 56, 190, 677, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 56, 190, 677, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 190, 677, 323 is 1.
Therefore, GCD of numbers 56, 190, 677, 323 is 1
Given Input Data is 56, 190, 677, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 677 is 677
Prime Factorization of 323 is 17 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(56, 190) = 5320
GCD(56, 190) = ( 56 x 190 ) / 5320
GCD(56, 190) = 10640 / 5320
GCD(56, 190) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 56, 190, 677, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 190, 677, 323?
GCD of 56, 190, 677, 323 is 1
2. Where do I get the detailed procedure to find GCD of 56, 190, 677, 323?
You can find a detailed procedure to find GCD of 56, 190, 677, 323 on our page.
3. How to find GCD of 56, 190, 677, 323 on a calculator?
You can find the GCD of 56, 190, 677, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.