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 300, 670, 463, 591 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 670, 463, 591 is 1
GCD(300, 670, 463, 591) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 670, 463, 591 is 1
GCD(300, 670, 463, 591) = 1
Given Input numbers are 300, 670, 463, 591
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Greatest Common Divisior
We found the divisors of 300, 670, 463, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 670, 463, 591 is 1.
Therefore, GCD of numbers 300, 670, 463, 591 is 1
Given Input Data is 300, 670, 463, 591
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 463 is 463
Prime Factorization of 591 is 3 x 197
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(300, 670) = 20100
GCD(300, 670) = ( 300 x 670 ) / 20100
GCD(300, 670) = 201000 / 20100
GCD(300, 670) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 463) = 4630
GCD(10, 463) = ( 10 x 463 ) / 4630
GCD(10, 463) = 4630 / 4630
GCD(10, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
GCD of 300, 670, 463, 591 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 670, 463, 591?
GCD of 300, 670, 463, 591 is 1
2. Where do I get the detailed procedure to find GCD of 300, 670, 463, 591?
You can find a detailed procedure to find GCD of 300, 670, 463, 591 on our page.
3. How to find GCD of 300, 670, 463, 591 on a calculator?
You can find the GCD of 300, 670, 463, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.