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, 715, 68, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 715, 68, 457 is 1
GCD(300, 715, 68, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 715, 68, 457 is 1
GCD(300, 715, 68, 457) = 1
Given Input numbers are 300, 715, 68, 457
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 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 300, 715, 68, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 715, 68, 457 is 1.
Therefore, GCD of numbers 300, 715, 68, 457 is 1
Given Input Data is 300, 715, 68, 457
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 715 is 5 x 11 x 13
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 457 is 457
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, 715) = 42900
GCD(300, 715) = ( 300 x 715 ) / 42900
GCD(300, 715) = 214500 / 42900
GCD(300, 715) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 68) = 340
GCD(5, 68) = ( 5 x 68 ) / 340
GCD(5, 68) = 340 / 340
GCD(5, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 300, 715, 68, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 715, 68, 457?
GCD of 300, 715, 68, 457 is 1
2. Where do I get the detailed procedure to find GCD of 300, 715, 68, 457?
You can find a detailed procedure to find GCD of 300, 715, 68, 457 on our page.
3. How to find GCD of 300, 715, 68, 457 on a calculator?
You can find the GCD of 300, 715, 68, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.