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 133, 945, 15, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 945, 15, 847 is 1
GCD(133, 945, 15, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 945, 15, 847 is 1
GCD(133, 945, 15, 847) = 1
Given Input numbers are 133, 945, 15, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 133, 945, 15, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 945, 15, 847 is 1.
Therefore, GCD of numbers 133, 945, 15, 847 is 1
Given Input Data is 133, 945, 15, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 15 is 3 x 5
Prime Factorization of 847 is 7 x 11 x 11
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(133, 945) = 17955
GCD(133, 945) = ( 133 x 945 ) / 17955
GCD(133, 945) = 125685 / 17955
GCD(133, 945) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 15) = 105
GCD(7, 15) = ( 7 x 15 ) / 105
GCD(7, 15) = 105 / 105
GCD(7, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 133, 945, 15, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 945, 15, 847?
GCD of 133, 945, 15, 847 is 1
2. Where do I get the detailed procedure to find GCD of 133, 945, 15, 847?
You can find a detailed procedure to find GCD of 133, 945, 15, 847 on our page.
3. How to find GCD of 133, 945, 15, 847 on a calculator?
You can find the GCD of 133, 945, 15, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.