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 501, 697, 300, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 697, 300, 699 is 1
GCD(501, 697, 300, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 697, 300, 699 is 1
GCD(501, 697, 300, 699) = 1
Given Input numbers are 501, 697, 300, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
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 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 501, 697, 300, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 697, 300, 699 is 1.
Therefore, GCD of numbers 501, 697, 300, 699 is 1
Given Input Data is 501, 697, 300, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 697 is 17 x 41
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 699 is 3 x 233
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(501, 697) = 349197
GCD(501, 697) = ( 501 x 697 ) / 349197
GCD(501, 697) = 349197 / 349197
GCD(501, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 501, 697, 300, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 697, 300, 699?
GCD of 501, 697, 300, 699 is 1
2. Where do I get the detailed procedure to find GCD of 501, 697, 300, 699?
You can find a detailed procedure to find GCD of 501, 697, 300, 699 on our page.
3. How to find GCD of 501, 697, 300, 699 on a calculator?
You can find the GCD of 501, 697, 300, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.