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, 169, 847, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 169, 847, 851 is 1
GCD(14, 169, 847, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 169, 847, 851 is 1
GCD(14, 169, 847, 851) = 1
Given Input numbers are 14, 169, 847, 851
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 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 14, 169, 847, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 169, 847, 851 is 1.
Therefore, GCD of numbers 14, 169, 847, 851 is 1
Given Input Data is 14, 169, 847, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 169 is 13 x 13
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 851 is 23 x 37
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, 169) = 2366
GCD(14, 169) = ( 14 x 169 ) / 2366
GCD(14, 169) = 2366 / 2366
GCD(14, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 14, 169, 847, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 169, 847, 851?
GCD of 14, 169, 847, 851 is 1
2. Where do I get the detailed procedure to find GCD of 14, 169, 847, 851?
You can find a detailed procedure to find GCD of 14, 169, 847, 851 on our page.
3. How to find GCD of 14, 169, 847, 851 on a calculator?
You can find the GCD of 14, 169, 847, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.