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 899, 679, 785, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 899, 679, 785, 300 is 1
GCD(899, 679, 785, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 899, 679, 785, 300 is 1
GCD(899, 679, 785, 300) = 1
Given Input numbers are 899, 679, 785, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
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
Greatest Common Divisior
We found the divisors of 899, 679, 785, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 679, 785, 300 is 1.
Therefore, GCD of numbers 899, 679, 785, 300 is 1
Given Input Data is 899, 679, 785, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 899 is 29 x 31
Prime Factorization of 679 is 7 x 97
Prime Factorization of 785 is 5 x 157
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(899, 679) = 610421
GCD(899, 679) = ( 899 x 679 ) / 610421
GCD(899, 679) = 610421 / 610421
GCD(899, 679) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
Step3:
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
GCD of 899, 679, 785, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 899, 679, 785, 300?
GCD of 899, 679, 785, 300 is 1
2. Where do I get the detailed procedure to find GCD of 899, 679, 785, 300?
You can find a detailed procedure to find GCD of 899, 679, 785, 300 on our page.
3. How to find GCD of 899, 679, 785, 300 on a calculator?
You can find the GCD of 899, 679, 785, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.