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, 470, 867, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 470, 867, 372 is 1
GCD(945, 470, 867, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 470, 867, 372 is 1
GCD(945, 470, 867, 372) = 1
Given Input numbers are 945, 470, 867, 372
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 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 945, 470, 867, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 470, 867, 372 is 1.
Therefore, GCD of numbers 945, 470, 867, 372 is 1
Given Input Data is 945, 470, 867, 372
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 470 is 2 x 5 x 47
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 372 is 2 x 2 x 3 x 31
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, 470) = 88830
GCD(945, 470) = ( 945 x 470 ) / 88830
GCD(945, 470) = 444150 / 88830
GCD(945, 470) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 867) = 4335
GCD(5, 867) = ( 5 x 867 ) / 4335
GCD(5, 867) = 4335 / 4335
GCD(5, 867) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 945, 470, 867, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 470, 867, 372?
GCD of 945, 470, 867, 372 is 1
2. Where do I get the detailed procedure to find GCD of 945, 470, 867, 372?
You can find a detailed procedure to find GCD of 945, 470, 867, 372 on our page.
3. How to find GCD of 945, 470, 867, 372 on a calculator?
You can find the GCD of 945, 470, 867, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.