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, 625, 940, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 625, 940, 111 is 1
GCD(47, 625, 940, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 625, 940, 111 is 1
GCD(47, 625, 940, 111) = 1
Given Input numbers are 47, 625, 940, 111
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 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 47, 625, 940, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 625, 940, 111 is 1.
Therefore, GCD of numbers 47, 625, 940, 111 is 1
Given Input Data is 47, 625, 940, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 111 is 3 x 37
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, 625) = 29375
GCD(47, 625) = ( 47 x 625 ) / 29375
GCD(47, 625) = 29375 / 29375
GCD(47, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 47, 625, 940, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 625, 940, 111?
GCD of 47, 625, 940, 111 is 1
2. Where do I get the detailed procedure to find GCD of 47, 625, 940, 111?
You can find a detailed procedure to find GCD of 47, 625, 940, 111 on our page.
3. How to find GCD of 47, 625, 940, 111 on a calculator?
You can find the GCD of 47, 625, 940, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.