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, 814, 77, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 814, 77, 754 is 1
GCD(388, 814, 77, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 814, 77, 754 is 1
GCD(388, 814, 77, 754) = 1
Given Input numbers are 388, 814, 77, 754
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 388, 814, 77, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 814, 77, 754 is 1.
Therefore, GCD of numbers 388, 814, 77, 754 is 1
Given Input Data is 388, 814, 77, 754
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 814 is 2 x 11 x 37
Prime Factorization of 77 is 7 x 11
Prime Factorization of 754 is 2 x 13 x 29
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, 814) = 157916
GCD(388, 814) = ( 388 x 814 ) / 157916
GCD(388, 814) = 315832 / 157916
GCD(388, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 388, 814, 77, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 814, 77, 754?
GCD of 388, 814, 77, 754 is 1
2. Where do I get the detailed procedure to find GCD of 388, 814, 77, 754?
You can find a detailed procedure to find GCD of 388, 814, 77, 754 on our page.
3. How to find GCD of 388, 814, 77, 754 on a calculator?
You can find the GCD of 388, 814, 77, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.