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 38, 278, 881, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 278, 881, 716 is 1
GCD(38, 278, 881, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 278, 881, 716 is 1
GCD(38, 278, 881, 716) = 1
Given Input numbers are 38, 278, 881, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 38, 278, 881, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 278, 881, 716 is 1.
Therefore, GCD of numbers 38, 278, 881, 716 is 1
Given Input Data is 38, 278, 881, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 278 is 2 x 139
Prime Factorization of 881 is 881
Prime Factorization of 716 is 2 x 2 x 179
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(38, 278) = 5282
GCD(38, 278) = ( 38 x 278 ) / 5282
GCD(38, 278) = 10564 / 5282
GCD(38, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 881) = 1762
GCD(2, 881) = ( 2 x 881 ) / 1762
GCD(2, 881) = 1762 / 1762
GCD(2, 881) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 38, 278, 881, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 278, 881, 716?
GCD of 38, 278, 881, 716 is 1
2. Where do I get the detailed procedure to find GCD of 38, 278, 881, 716?
You can find a detailed procedure to find GCD of 38, 278, 881, 716 on our page.
3. How to find GCD of 38, 278, 881, 716 on a calculator?
You can find the GCD of 38, 278, 881, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.