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 84, 145, 944, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 145, 944, 111 is 1
GCD(84, 145, 944, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 145, 944, 111 is 1
GCD(84, 145, 944, 111) = 1
Given Input numbers are 84, 145, 944, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
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 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 84, 145, 944, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 145, 944, 111 is 1.
Therefore, GCD of numbers 84, 145, 944, 111 is 1
Given Input Data is 84, 145, 944, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 145 is 5 x 29
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
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(84, 145) = 12180
GCD(84, 145) = ( 84 x 145 ) / 12180
GCD(84, 145) = 12180 / 12180
GCD(84, 145) = 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 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 84, 145, 944, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 145, 944, 111?
GCD of 84, 145, 944, 111 is 1
2. Where do I get the detailed procedure to find GCD of 84, 145, 944, 111?
You can find a detailed procedure to find GCD of 84, 145, 944, 111 on our page.
3. How to find GCD of 84, 145, 944, 111 on a calculator?
You can find the GCD of 84, 145, 944, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.