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 912, 851, 60, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 851, 60, 854 is 1
GCD(912, 851, 60, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 851, 60, 854 is 1
GCD(912, 851, 60, 854) = 1
Given Input numbers are 912, 851, 60, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 912, 851, 60, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 851, 60, 854 is 1.
Therefore, GCD of numbers 912, 851, 60, 854 is 1
Given Input Data is 912, 851, 60, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 851 is 23 x 37
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 854 is 2 x 7 x 61
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(912, 851) = 776112
GCD(912, 851) = ( 912 x 851 ) / 776112
GCD(912, 851) = 776112 / 776112
GCD(912, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 912, 851, 60, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 851, 60, 854?
GCD of 912, 851, 60, 854 is 1
2. Where do I get the detailed procedure to find GCD of 912, 851, 60, 854?
You can find a detailed procedure to find GCD of 912, 851, 60, 854 on our page.
3. How to find GCD of 912, 851, 60, 854 on a calculator?
You can find the GCD of 912, 851, 60, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.