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 76, 335, 306, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 335, 306, 200 is 1
GCD(76, 335, 306, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 335, 306, 200 is 1
GCD(76, 335, 306, 200) = 1
Given Input numbers are 76, 335, 306, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 76, 335, 306, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 335, 306, 200 is 1.
Therefore, GCD of numbers 76, 335, 306, 200 is 1
Given Input Data is 76, 335, 306, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 335 is 5 x 67
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 200 is 2 x 2 x 2 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(76, 335) = 25460
GCD(76, 335) = ( 76 x 335 ) / 25460
GCD(76, 335) = 25460 / 25460
GCD(76, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 76, 335, 306, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 335, 306, 200?
GCD of 76, 335, 306, 200 is 1
2. Where do I get the detailed procedure to find GCD of 76, 335, 306, 200?
You can find a detailed procedure to find GCD of 76, 335, 306, 200 on our page.
3. How to find GCD of 76, 335, 306, 200 on a calculator?
You can find the GCD of 76, 335, 306, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.