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 314, 206, 289, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 206, 289, 168 is 1
GCD(314, 206, 289, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 206, 289, 168 is 1
GCD(314, 206, 289, 168) = 1
Given Input numbers are 314, 206, 289, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 314, 206, 289, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 206, 289, 168 is 1.
Therefore, GCD of numbers 314, 206, 289, 168 is 1
Given Input Data is 314, 206, 289, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 206 is 2 x 103
Prime Factorization of 289 is 17 x 17
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(314, 206) = 32342
GCD(314, 206) = ( 314 x 206 ) / 32342
GCD(314, 206) = 64684 / 32342
GCD(314, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
GCD(2, 289) = 578 / 578
GCD(2, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 314, 206, 289, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 206, 289, 168?
GCD of 314, 206, 289, 168 is 1
2. Where do I get the detailed procedure to find GCD of 314, 206, 289, 168?
You can find a detailed procedure to find GCD of 314, 206, 289, 168 on our page.
3. How to find GCD of 314, 206, 289, 168 on a calculator?
You can find the GCD of 314, 206, 289, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.