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 380, 945, 10, 845 i.e. 5 largest integer that divides all the numbers equally.
GCD of 380, 945, 10, 845 is 5
GCD(380, 945, 10, 845) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 945, 10, 845 is 5
GCD(380, 945, 10, 845) = 5
Given Input numbers are 380, 945, 10, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 380, 945, 10, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 945, 10, 845 is 5.
Therefore, GCD of numbers 380, 945, 10, 845 is 5
Given Input Data is 380, 945, 10, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 10 is 2 x 5
Prime Factorization of 845 is 5 x 13 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(380, 945) = 71820
GCD(380, 945) = ( 380 x 945 ) / 71820
GCD(380, 945) = 359100 / 71820
GCD(380, 945) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 10) = 10
GCD(5, 10) = ( 5 x 10 ) / 10
GCD(5, 10) = 50 / 10
GCD(5, 10) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 845) = 845
GCD(5, 845) = ( 5 x 845 ) / 845
GCD(5, 845) = 4225 / 845
GCD(5, 845) = 5
GCD of 380, 945, 10, 845 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 945, 10, 845?
GCD of 380, 945, 10, 845 is 5
2. Where do I get the detailed procedure to find GCD of 380, 945, 10, 845?
You can find a detailed procedure to find GCD of 380, 945, 10, 845 on our page.
3. How to find GCD of 380, 945, 10, 845 on a calculator?
You can find the GCD of 380, 945, 10, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.