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 199, 736, 78, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 199, 736, 78, 276 is 1
GCD(199, 736, 78, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 199, 736, 78, 276 is 1
GCD(199, 736, 78, 276) = 1
Given Input numbers are 199, 736, 78, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 199, 736, 78, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 736, 78, 276 is 1.
Therefore, GCD of numbers 199, 736, 78, 276 is 1
Given Input Data is 199, 736, 78, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 199 is 199
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 276 is 2 x 2 x 3 x 23
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(199, 736) = 146464
GCD(199, 736) = ( 199 x 736 ) / 146464
GCD(199, 736) = 146464 / 146464
GCD(199, 736) = 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 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 199, 736, 78, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 199, 736, 78, 276?
GCD of 199, 736, 78, 276 is 1
2. Where do I get the detailed procedure to find GCD of 199, 736, 78, 276?
You can find a detailed procedure to find GCD of 199, 736, 78, 276 on our page.
3. How to find GCD of 199, 736, 78, 276 on a calculator?
You can find the GCD of 199, 736, 78, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.