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 931, 167, 21, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 931, 167, 21, 851 is 1
GCD(931, 167, 21, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 931, 167, 21, 851 is 1
GCD(931, 167, 21, 851) = 1
Given Input numbers are 931, 167, 21, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
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 931, 167, 21, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 167, 21, 851 is 1.
Therefore, GCD of numbers 931, 167, 21, 851 is 1
Given Input Data is 931, 167, 21, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 167 is 167
Prime Factorization of 21 is 3 x 7
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(931, 167) = 155477
GCD(931, 167) = ( 931 x 167 ) / 155477
GCD(931, 167) = 155477 / 155477
GCD(931, 167) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 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 931, 167, 21, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 931, 167, 21, 851?
GCD of 931, 167, 21, 851 is 1
2. Where do I get the detailed procedure to find GCD of 931, 167, 21, 851?
You can find a detailed procedure to find GCD of 931, 167, 21, 851 on our page.
3. How to find GCD of 931, 167, 21, 851 on a calculator?
You can find the GCD of 931, 167, 21, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.