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 441, 474, 957, 886 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 474, 957, 886 is 1
GCD(441, 474, 957, 886) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 474, 957, 886 is 1
GCD(441, 474, 957, 886) = 1
Given Input numbers are 441, 474, 957, 886
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
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 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Greatest Common Divisior
We found the divisors of 441, 474, 957, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 474, 957, 886 is 1.
Therefore, GCD of numbers 441, 474, 957, 886 is 1
Given Input Data is 441, 474, 957, 886
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 886 is 2 x 443
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(441, 474) = 69678
GCD(441, 474) = ( 441 x 474 ) / 69678
GCD(441, 474) = 209034 / 69678
GCD(441, 474) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
GCD(3, 957) = 2871 / 957
GCD(3, 957) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 886
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 886) = 2658
GCD(3, 886) = ( 3 x 886 ) / 2658
GCD(3, 886) = 2658 / 2658
GCD(3, 886) = 1
GCD of 441, 474, 957, 886 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 474, 957, 886?
GCD of 441, 474, 957, 886 is 1
2. Where do I get the detailed procedure to find GCD of 441, 474, 957, 886?
You can find a detailed procedure to find GCD of 441, 474, 957, 886 on our page.
3. How to find GCD of 441, 474, 957, 886 on a calculator?
You can find the GCD of 441, 474, 957, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.