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 47, 913, 944, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 913, 944, 874 is 1
GCD(47, 913, 944, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 913, 944, 874 is 1
GCD(47, 913, 944, 874) = 1
Given Input numbers are 47, 913, 944, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 47, 913, 944, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 913, 944, 874 is 1.
Therefore, GCD of numbers 47, 913, 944, 874 is 1
Given Input Data is 47, 913, 944, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 913 is 11 x 83
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 874 is 2 x 19 x 23
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(47, 913) = 42911
GCD(47, 913) = ( 47 x 913 ) / 42911
GCD(47, 913) = 42911 / 42911
GCD(47, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 47, 913, 944, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 913, 944, 874?
GCD of 47, 913, 944, 874 is 1
2. Where do I get the detailed procedure to find GCD of 47, 913, 944, 874?
You can find a detailed procedure to find GCD of 47, 913, 944, 874 on our page.
3. How to find GCD of 47, 913, 944, 874 on a calculator?
You can find the GCD of 47, 913, 944, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.