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 945, 487, 313, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 487, 313, 891 is 1
GCD(945, 487, 313, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 487, 313, 891 is 1
GCD(945, 487, 313, 891) = 1
Given Input numbers are 945, 487, 313, 891
To find the GCD of numbers using factoring list out all the divisors of each number
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 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 945, 487, 313, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 487, 313, 891 is 1.
Therefore, GCD of numbers 945, 487, 313, 891 is 1
Given Input Data is 945, 487, 313, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 487 is 487
Prime Factorization of 313 is 313
Prime Factorization of 891 is 3 x 3 x 3 x 3 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(945, 487) = 460215
GCD(945, 487) = ( 945 x 487 ) / 460215
GCD(945, 487) = 460215 / 460215
GCD(945, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 313) = 313
GCD(1, 313) = ( 1 x 313 ) / 313
GCD(1, 313) = 313 / 313
GCD(1, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 945, 487, 313, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 487, 313, 891?
GCD of 945, 487, 313, 891 is 1
2. Where do I get the detailed procedure to find GCD of 945, 487, 313, 891?
You can find a detailed procedure to find GCD of 945, 487, 313, 891 on our page.
3. How to find GCD of 945, 487, 313, 891 on a calculator?
You can find the GCD of 945, 487, 313, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.