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 249, 560, 28, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 560, 28, 767 is 1
GCD(249, 560, 28, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 560, 28, 767 is 1
GCD(249, 560, 28, 767) = 1
Given Input numbers are 249, 560, 28, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 249, 560, 28, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 560, 28, 767 is 1.
Therefore, GCD of numbers 249, 560, 28, 767 is 1
Given Input Data is 249, 560, 28, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 767 is 13 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(249, 560) = 139440
GCD(249, 560) = ( 249 x 560 ) / 139440
GCD(249, 560) = 139440 / 139440
GCD(249, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 249, 560, 28, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 560, 28, 767?
GCD of 249, 560, 28, 767 is 1
2. Where do I get the detailed procedure to find GCD of 249, 560, 28, 767?
You can find a detailed procedure to find GCD of 249, 560, 28, 767 on our page.
3. How to find GCD of 249, 560, 28, 767 on a calculator?
You can find the GCD of 249, 560, 28, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.