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 28, 631, 691, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 631, 691, 649 is 1
GCD(28, 631, 691, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 631, 691, 649 is 1
GCD(28, 631, 691, 649) = 1
Given Input numbers are 28, 631, 691, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 28, 631, 691, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 631, 691, 649 is 1.
Therefore, GCD of numbers 28, 631, 691, 649 is 1
Given Input Data is 28, 631, 691, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 631 is 631
Prime Factorization of 691 is 691
Prime Factorization of 649 is 11 x 59
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(28, 631) = 17668
GCD(28, 631) = ( 28 x 631 ) / 17668
GCD(28, 631) = 17668 / 17668
GCD(28, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 28, 631, 691, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 631, 691, 649?
GCD of 28, 631, 691, 649 is 1
2. Where do I get the detailed procedure to find GCD of 28, 631, 691, 649?
You can find a detailed procedure to find GCD of 28, 631, 691, 649 on our page.
3. How to find GCD of 28, 631, 691, 649 on a calculator?
You can find the GCD of 28, 631, 691, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.