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, 565, 699, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 565, 699, 557 is 1
GCD(300, 565, 699, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 565, 699, 557 is 1
GCD(300, 565, 699, 557) = 1
Given Input numbers are 300, 565, 699, 557
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 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 300, 565, 699, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 565, 699, 557 is 1.
Therefore, GCD of numbers 300, 565, 699, 557 is 1
Given Input Data is 300, 565, 699, 557
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 565 is 5 x 113
Prime Factorization of 699 is 3 x 233
Prime Factorization of 557 is 557
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, 565) = 33900
GCD(300, 565) = ( 300 x 565 ) / 33900
GCD(300, 565) = 169500 / 33900
GCD(300, 565) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 699) = 3495
GCD(5, 699) = ( 5 x 699 ) / 3495
GCD(5, 699) = 3495 / 3495
GCD(5, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 300, 565, 699, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 565, 699, 557?
GCD of 300, 565, 699, 557 is 1
2. Where do I get the detailed procedure to find GCD of 300, 565, 699, 557?
You can find a detailed procedure to find GCD of 300, 565, 699, 557 on our page.
3. How to find GCD of 300, 565, 699, 557 on a calculator?
You can find the GCD of 300, 565, 699, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.