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 944, 931, 733, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 931, 733, 100 is 1
GCD(944, 931, 733, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 931, 733, 100 is 1
GCD(944, 931, 733, 100) = 1
Given Input numbers are 944, 931, 733, 100
To find the GCD of numbers using factoring list out all the divisors of each number
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 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 944, 931, 733, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 931, 733, 100 is 1.
Therefore, GCD of numbers 944, 931, 733, 100 is 1
Given Input Data is 944, 931, 733, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 733 is 733
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(944, 931) = 878864
GCD(944, 931) = ( 944 x 931 ) / 878864
GCD(944, 931) = 878864 / 878864
GCD(944, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 944, 931, 733, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 931, 733, 100?
GCD of 944, 931, 733, 100 is 1
2. Where do I get the detailed procedure to find GCD of 944, 931, 733, 100?
You can find a detailed procedure to find GCD of 944, 931, 733, 100 on our page.
3. How to find GCD of 944, 931, 733, 100 on a calculator?
You can find the GCD of 944, 931, 733, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.