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 388, 376, 508, 549 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 376, 508, 549 is 1
GCD(388, 376, 508, 549) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 376, 508, 549 is 1
GCD(388, 376, 508, 549) = 1
Given Input numbers are 388, 376, 508, 549
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Greatest Common Divisior
We found the divisors of 388, 376, 508, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 376, 508, 549 is 1.
Therefore, GCD of numbers 388, 376, 508, 549 is 1
Given Input Data is 388, 376, 508, 549
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 549 is 3 x 3 x 61
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(388, 376) = 36472
GCD(388, 376) = ( 388 x 376 ) / 36472
GCD(388, 376) = 145888 / 36472
GCD(388, 376) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
GCD(4, 508) = 2032 / 508
GCD(4, 508) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 549) = 2196
GCD(4, 549) = ( 4 x 549 ) / 2196
GCD(4, 549) = 2196 / 2196
GCD(4, 549) = 1
GCD of 388, 376, 508, 549 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 376, 508, 549?
GCD of 388, 376, 508, 549 is 1
2. Where do I get the detailed procedure to find GCD of 388, 376, 508, 549?
You can find a detailed procedure to find GCD of 388, 376, 508, 549 on our page.
3. How to find GCD of 388, 376, 508, 549 on a calculator?
You can find the GCD of 388, 376, 508, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.