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 667, 103, 16, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 103, 16, 340 is 1
GCD(667, 103, 16, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 103, 16, 340 is 1
GCD(667, 103, 16, 340) = 1
Given Input numbers are 667, 103, 16, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 667, 103, 16, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 103, 16, 340 is 1.
Therefore, GCD of numbers 667, 103, 16, 340 is 1
Given Input Data is 667, 103, 16, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 103 is 103
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(667, 103) = 68701
GCD(667, 103) = ( 667 x 103 ) / 68701
GCD(667, 103) = 68701 / 68701
GCD(667, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 667, 103, 16, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 103, 16, 340?
GCD of 667, 103, 16, 340 is 1
2. Where do I get the detailed procedure to find GCD of 667, 103, 16, 340?
You can find a detailed procedure to find GCD of 667, 103, 16, 340 on our page.
3. How to find GCD of 667, 103, 16, 340 on a calculator?
You can find the GCD of 667, 103, 16, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.