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 278, 276, 73, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 278, 276, 73, 399 is 1
GCD(278, 276, 73, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 276, 73, 399 is 1
GCD(278, 276, 73, 399) = 1
Given Input numbers are 278, 276, 73, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
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
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 278, 276, 73, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 276, 73, 399 is 1.
Therefore, GCD of numbers 278, 276, 73, 399 is 1
Given Input Data is 278, 276, 73, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 73 is 73
Prime Factorization of 399 is 3 x 7 x 19
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(278, 276) = 38364
GCD(278, 276) = ( 278 x 276 ) / 38364
GCD(278, 276) = 76728 / 38364
GCD(278, 276) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 278, 276, 73, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 276, 73, 399?
GCD of 278, 276, 73, 399 is 1
2. Where do I get the detailed procedure to find GCD of 278, 276, 73, 399?
You can find a detailed procedure to find GCD of 278, 276, 73, 399 on our page.
3. How to find GCD of 278, 276, 73, 399 on a calculator?
You can find the GCD of 278, 276, 73, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.