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, 893, 957, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 893, 957, 461 is 1
GCD(48, 893, 957, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 893, 957, 461 is 1
GCD(48, 893, 957, 461) = 1
Given Input numbers are 48, 893, 957, 461
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 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 48, 893, 957, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 893, 957, 461 is 1.
Therefore, GCD of numbers 48, 893, 957, 461 is 1
Given Input Data is 48, 893, 957, 461
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 893 is 19 x 47
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 461 is 461
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, 893) = 42864
GCD(48, 893) = ( 48 x 893 ) / 42864
GCD(48, 893) = 42864 / 42864
GCD(48, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 48, 893, 957, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 893, 957, 461?
GCD of 48, 893, 957, 461 is 1
2. Where do I get the detailed procedure to find GCD of 48, 893, 957, 461?
You can find a detailed procedure to find GCD of 48, 893, 957, 461 on our page.
3. How to find GCD of 48, 893, 957, 461 on a calculator?
You can find the GCD of 48, 893, 957, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.