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 94, 960, 947, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 94, 960, 947, 133 is 1
GCD(94, 960, 947, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 94, 960, 947, 133 is 1
GCD(94, 960, 947, 133) = 1
Given Input numbers are 94, 960, 947, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 94, 960, 947, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 960, 947, 133 is 1.
Therefore, GCD of numbers 94, 960, 947, 133 is 1
Given Input Data is 94, 960, 947, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 94 is 2 x 47
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 947 is 947
Prime Factorization of 133 is 7 x 19
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(94, 960) = 45120
GCD(94, 960) = ( 94 x 960 ) / 45120
GCD(94, 960) = 90240 / 45120
GCD(94, 960) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 947) = 1894
GCD(2, 947) = ( 2 x 947 ) / 1894
GCD(2, 947) = 1894 / 1894
GCD(2, 947) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 94, 960, 947, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 94, 960, 947, 133?
GCD of 94, 960, 947, 133 is 1
2. Where do I get the detailed procedure to find GCD of 94, 960, 947, 133?
You can find a detailed procedure to find GCD of 94, 960, 947, 133 on our page.
3. How to find GCD of 94, 960, 947, 133 on a calculator?
You can find the GCD of 94, 960, 947, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.