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 783, 753, 28, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 783, 753, 28, 247 is 1
GCD(783, 753, 28, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 753, 28, 247 is 1
GCD(783, 753, 28, 247) = 1
Given Input numbers are 783, 753, 28, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 783, 753, 28, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 753, 28, 247 is 1.
Therefore, GCD of numbers 783, 753, 28, 247 is 1
Given Input Data is 783, 753, 28, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 753 is 3 x 251
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 247 is 13 x 19
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(783, 753) = 196533
GCD(783, 753) = ( 783 x 753 ) / 196533
GCD(783, 753) = 589599 / 196533
GCD(783, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 28) = 84
GCD(3, 28) = ( 3 x 28 ) / 84
GCD(3, 28) = 84 / 84
GCD(3, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 247) = 247
GCD(1, 247) = ( 1 x 247 ) / 247
GCD(1, 247) = 247 / 247
GCD(1, 247) = 1
GCD of 783, 753, 28, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 753, 28, 247?
GCD of 783, 753, 28, 247 is 1
2. Where do I get the detailed procedure to find GCD of 783, 753, 28, 247?
You can find a detailed procedure to find GCD of 783, 753, 28, 247 on our page.
3. How to find GCD of 783, 753, 28, 247 on a calculator?
You can find the GCD of 783, 753, 28, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.