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 680, 949, 89, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 949, 89, 349 is 1
GCD(680, 949, 89, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 949, 89, 349 is 1
GCD(680, 949, 89, 349) = 1
Given Input numbers are 680, 949, 89, 349
To find the GCD of numbers using factoring list out all the divisors of each number
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 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 680, 949, 89, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 949, 89, 349 is 1.
Therefore, GCD of numbers 680, 949, 89, 349 is 1
Given Input Data is 680, 949, 89, 349
Make a list of Prime Factors of all the given numbers initially
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 89 is 89
Prime Factorization of 349 is 349
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(680, 949) = 645320
GCD(680, 949) = ( 680 x 949 ) / 645320
GCD(680, 949) = 645320 / 645320
GCD(680, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 680, 949, 89, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 949, 89, 349?
GCD of 680, 949, 89, 349 is 1
2. Where do I get the detailed procedure to find GCD of 680, 949, 89, 349?
You can find a detailed procedure to find GCD of 680, 949, 89, 349 on our page.
3. How to find GCD of 680, 949, 89, 349 on a calculator?
You can find the GCD of 680, 949, 89, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.