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 855, 948, 906, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 948, 906, 160 is 1
GCD(855, 948, 906, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 948, 906, 160 is 1
GCD(855, 948, 906, 160) = 1
Given Input numbers are 855, 948, 906, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 855, 948, 906, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 948, 906, 160 is 1.
Therefore, GCD of numbers 855, 948, 906, 160 is 1
Given Input Data is 855, 948, 906, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(855, 948) = 270180
GCD(855, 948) = ( 855 x 948 ) / 270180
GCD(855, 948) = 810540 / 270180
GCD(855, 948) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
GCD(3, 906) = 2718 / 906
GCD(3, 906) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 160) = 480
GCD(3, 160) = ( 3 x 160 ) / 480
GCD(3, 160) = 480 / 480
GCD(3, 160) = 1
GCD of 855, 948, 906, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 948, 906, 160?
GCD of 855, 948, 906, 160 is 1
2. Where do I get the detailed procedure to find GCD of 855, 948, 906, 160?
You can find a detailed procedure to find GCD of 855, 948, 906, 160 on our page.
3. How to find GCD of 855, 948, 906, 160 on a calculator?
You can find the GCD of 855, 948, 906, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.