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 229, 857, 78, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 229, 857, 78, 300 is 1
GCD(229, 857, 78, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 229, 857, 78, 300 is 1
GCD(229, 857, 78, 300) = 1
Given Input numbers are 229, 857, 78, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
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 229, 857, 78, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 857, 78, 300 is 1.
Therefore, GCD of numbers 229, 857, 78, 300 is 1
Given Input Data is 229, 857, 78, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 229 is 229
Prime Factorization of 857 is 857
Prime Factorization of 78 is 2 x 3 x 13
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(229, 857) = 196253
GCD(229, 857) = ( 229 x 857 ) / 196253
GCD(229, 857) = 196253 / 196253
GCD(229, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 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 229, 857, 78, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 229, 857, 78, 300?
GCD of 229, 857, 78, 300 is 1
2. Where do I get the detailed procedure to find GCD of 229, 857, 78, 300?
You can find a detailed procedure to find GCD of 229, 857, 78, 300 on our page.
3. How to find GCD of 229, 857, 78, 300 on a calculator?
You can find the GCD of 229, 857, 78, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.