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 14, 981, 734, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 981, 734, 167 is 1
GCD(14, 981, 734, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 981, 734, 167 is 1
GCD(14, 981, 734, 167) = 1
Given Input numbers are 14, 981, 734, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 14, 981, 734, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 981, 734, 167 is 1.
Therefore, GCD of numbers 14, 981, 734, 167 is 1
Given Input Data is 14, 981, 734, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 734 is 2 x 367
Prime Factorization of 167 is 167
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(14, 981) = 13734
GCD(14, 981) = ( 14 x 981 ) / 13734
GCD(14, 981) = 13734 / 13734
GCD(14, 981) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 14, 981, 734, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 981, 734, 167?
GCD of 14, 981, 734, 167 is 1
2. Where do I get the detailed procedure to find GCD of 14, 981, 734, 167?
You can find a detailed procedure to find GCD of 14, 981, 734, 167 on our page.
3. How to find GCD of 14, 981, 734, 167 on a calculator?
You can find the GCD of 14, 981, 734, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.