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 468, 670, 937, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 670, 937, 305 is 1
GCD(468, 670, 937, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 670, 937, 305 is 1
GCD(468, 670, 937, 305) = 1
Given Input numbers are 468, 670, 937, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 468, 670, 937, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 670, 937, 305 is 1.
Therefore, GCD of numbers 468, 670, 937, 305 is 1
Given Input Data is 468, 670, 937, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 937 is 937
Prime Factorization of 305 is 5 x 61
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(468, 670) = 156780
GCD(468, 670) = ( 468 x 670 ) / 156780
GCD(468, 670) = 313560 / 156780
GCD(468, 670) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 937) = 1874
GCD(2, 937) = ( 2 x 937 ) / 1874
GCD(2, 937) = 1874 / 1874
GCD(2, 937) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 468, 670, 937, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 670, 937, 305?
GCD of 468, 670, 937, 305 is 1
2. Where do I get the detailed procedure to find GCD of 468, 670, 937, 305?
You can find a detailed procedure to find GCD of 468, 670, 937, 305 on our page.
3. How to find GCD of 468, 670, 937, 305 on a calculator?
You can find the GCD of 468, 670, 937, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.