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 712, 919, 923, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 919, 923, 851 is 1
GCD(712, 919, 923, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 919, 923, 851 is 1
GCD(712, 919, 923, 851) = 1
Given Input numbers are 712, 919, 923, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
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 712, 919, 923, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 919, 923, 851 is 1.
Therefore, GCD of numbers 712, 919, 923, 851 is 1
Given Input Data is 712, 919, 923, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 919 is 919
Prime Factorization of 923 is 13 x 71
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(712, 919) = 654328
GCD(712, 919) = ( 712 x 919 ) / 654328
GCD(712, 919) = 654328 / 654328
GCD(712, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 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 712, 919, 923, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 919, 923, 851?
GCD of 712, 919, 923, 851 is 1
2. Where do I get the detailed procedure to find GCD of 712, 919, 923, 851?
You can find a detailed procedure to find GCD of 712, 919, 923, 851 on our page.
3. How to find GCD of 712, 919, 923, 851 on a calculator?
You can find the GCD of 712, 919, 923, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.