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, 961, 171, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 961, 171, 846 is 1
GCD(48, 961, 171, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 961, 171, 846 is 1
GCD(48, 961, 171, 846) = 1
Given Input numbers are 48, 961, 171, 846
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 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 48, 961, 171, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 961, 171, 846 is 1.
Therefore, GCD of numbers 48, 961, 171, 846 is 1
Given Input Data is 48, 961, 171, 846
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 961 is 31 x 31
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 846 is 2 x 3 x 3 x 47
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, 961) = 46128
GCD(48, 961) = ( 48 x 961 ) / 46128
GCD(48, 961) = 46128 / 46128
GCD(48, 961) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 48, 961, 171, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 961, 171, 846?
GCD of 48, 961, 171, 846 is 1
2. Where do I get the detailed procedure to find GCD of 48, 961, 171, 846?
You can find a detailed procedure to find GCD of 48, 961, 171, 846 on our page.
3. How to find GCD of 48, 961, 171, 846 on a calculator?
You can find the GCD of 48, 961, 171, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.