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 48, 952, 912, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 952, 912, 851 is 1
GCD(48, 952, 912, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 952, 912, 851 is 1
GCD(48, 952, 912, 851) = 1
Given Input numbers are 48, 952, 912, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
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
Greatest Common Divisior
We found the divisors of 48, 952, 912, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 952, 912, 851 is 1.
Therefore, GCD of numbers 48, 952, 912, 851 is 1
Given Input Data is 48, 952, 912, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(48, 952) = 5712
GCD(48, 952) = ( 48 x 952 ) / 5712
GCD(48, 952) = 45696 / 5712
GCD(48, 952) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 912) = 912
GCD(8, 912) = ( 8 x 912 ) / 912
GCD(8, 912) = 7296 / 912
GCD(8, 912) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 851) = 6808
GCD(8, 851) = ( 8 x 851 ) / 6808
GCD(8, 851) = 6808 / 6808
GCD(8, 851) = 1
GCD of 48, 952, 912, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 952, 912, 851?
GCD of 48, 952, 912, 851 is 1
2. Where do I get the detailed procedure to find GCD of 48, 952, 912, 851?
You can find a detailed procedure to find GCD of 48, 952, 912, 851 on our page.
3. How to find GCD of 48, 952, 912, 851 on a calculator?
You can find the GCD of 48, 952, 912, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.