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, 250, 334, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 250, 334, 665 is 1
GCD(300, 250, 334, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 250, 334, 665 is 1
GCD(300, 250, 334, 665) = 1
Given Input numbers are 300, 250, 334, 665
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 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 300, 250, 334, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 250, 334, 665 is 1.
Therefore, GCD of numbers 300, 250, 334, 665 is 1
Given Input Data is 300, 250, 334, 665
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 250 is 2 x 5 x 5 x 5
Prime Factorization of 334 is 2 x 167
Prime Factorization of 665 is 5 x 7 x 19
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, 250) = 1500
GCD(300, 250) = ( 300 x 250 ) / 1500
GCD(300, 250) = 75000 / 1500
GCD(300, 250) = 50
Step2:
Here we consider the GCD from the above i.e. 50 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(50, 334) = 8350
GCD(50, 334) = ( 50 x 334 ) / 8350
GCD(50, 334) = 16700 / 8350
GCD(50, 334) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 665) = 1330
GCD(2, 665) = ( 2 x 665 ) / 1330
GCD(2, 665) = 1330 / 1330
GCD(2, 665) = 1
GCD of 300, 250, 334, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 250, 334, 665?
GCD of 300, 250, 334, 665 is 1
2. Where do I get the detailed procedure to find GCD of 300, 250, 334, 665?
You can find a detailed procedure to find GCD of 300, 250, 334, 665 on our page.
3. How to find GCD of 300, 250, 334, 665 on a calculator?
You can find the GCD of 300, 250, 334, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.