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, 435, 75, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 435, 75, 773 is 1
GCD(300, 435, 75, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 435, 75, 773 is 1
GCD(300, 435, 75, 773) = 1
Given Input numbers are 300, 435, 75, 773
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 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 300, 435, 75, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 435, 75, 773 is 1.
Therefore, GCD of numbers 300, 435, 75, 773 is 1
Given Input Data is 300, 435, 75, 773
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 435 is 3 x 5 x 29
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 773 is 773
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, 435) = 8700
GCD(300, 435) = ( 300 x 435 ) / 8700
GCD(300, 435) = 130500 / 8700
GCD(300, 435) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 75) = 75
GCD(15, 75) = ( 15 x 75 ) / 75
GCD(15, 75) = 1125 / 75
GCD(15, 75) = 15
Step3:
Here we consider the GCD from the above i.e. 15 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 773) = 11595
GCD(15, 773) = ( 15 x 773 ) / 11595
GCD(15, 773) = 11595 / 11595
GCD(15, 773) = 1
GCD of 300, 435, 75, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 435, 75, 773?
GCD of 300, 435, 75, 773 is 1
2. Where do I get the detailed procedure to find GCD of 300, 435, 75, 773?
You can find a detailed procedure to find GCD of 300, 435, 75, 773 on our page.
3. How to find GCD of 300, 435, 75, 773 on a calculator?
You can find the GCD of 300, 435, 75, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.