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 42, 901, 881, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 901, 881, 954 is 1
GCD(42, 901, 881, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 901, 881, 954 is 1
GCD(42, 901, 881, 954) = 1
Given Input numbers are 42, 901, 881, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 42, 901, 881, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 901, 881, 954 is 1.
Therefore, GCD of numbers 42, 901, 881, 954 is 1
Given Input Data is 42, 901, 881, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 901 is 17 x 53
Prime Factorization of 881 is 881
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(42, 901) = 37842
GCD(42, 901) = ( 42 x 901 ) / 37842
GCD(42, 901) = 37842 / 37842
GCD(42, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 954) = 954
GCD(1, 954) = ( 1 x 954 ) / 954
GCD(1, 954) = 954 / 954
GCD(1, 954) = 1
GCD of 42, 901, 881, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 901, 881, 954?
GCD of 42, 901, 881, 954 is 1
2. Where do I get the detailed procedure to find GCD of 42, 901, 881, 954?
You can find a detailed procedure to find GCD of 42, 901, 881, 954 on our page.
3. How to find GCD of 42, 901, 881, 954 on a calculator?
You can find the GCD of 42, 901, 881, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.