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 988, 728, 270, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 988, 728, 270, 347 is 1
GCD(988, 728, 270, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 988, 728, 270, 347 is 1
GCD(988, 728, 270, 347) = 1
Given Input numbers are 988, 728, 270, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 988, 728, 270, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 728, 270, 347 is 1.
Therefore, GCD of numbers 988, 728, 270, 347 is 1
Given Input Data is 988, 728, 270, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 347 is 347
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(988, 728) = 13832
GCD(988, 728) = ( 988 x 728 ) / 13832
GCD(988, 728) = 719264 / 13832
GCD(988, 728) = 52
Step2:
Here we consider the GCD from the above i.e. 52 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(52, 270) = 7020
GCD(52, 270) = ( 52 x 270 ) / 7020
GCD(52, 270) = 14040 / 7020
GCD(52, 270) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 347) = 694
GCD(2, 347) = ( 2 x 347 ) / 694
GCD(2, 347) = 694 / 694
GCD(2, 347) = 1
GCD of 988, 728, 270, 347 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 988, 728, 270, 347?
GCD of 988, 728, 270, 347 is 1
2. Where do I get the detailed procedure to find GCD of 988, 728, 270, 347?
You can find a detailed procedure to find GCD of 988, 728, 270, 347 on our page.
3. How to find GCD of 988, 728, 270, 347 on a calculator?
You can find the GCD of 988, 728, 270, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.