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 914, 680, 949, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 680, 949, 323 is 1
GCD(914, 680, 949, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 680, 949, 323 is 1
GCD(914, 680, 949, 323) = 1
Given Input numbers are 914, 680, 949, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
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 914, 680, 949, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 680, 949, 323 is 1.
Therefore, GCD of numbers 914, 680, 949, 323 is 1
Given Input Data is 914, 680, 949, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 949 is 13 x 73
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(914, 680) = 310760
GCD(914, 680) = ( 914 x 680 ) / 310760
GCD(914, 680) = 621520 / 310760
GCD(914, 680) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 949) = 1898
GCD(2, 949) = ( 2 x 949 ) / 1898
GCD(2, 949) = 1898 / 1898
GCD(2, 949) = 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 914, 680, 949, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 680, 949, 323?
GCD of 914, 680, 949, 323 is 1
2. Where do I get the detailed procedure to find GCD of 914, 680, 949, 323?
You can find a detailed procedure to find GCD of 914, 680, 949, 323 on our page.
3. How to find GCD of 914, 680, 949, 323 on a calculator?
You can find the GCD of 914, 680, 949, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.