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 312, 721, 657, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 721, 657, 768 is 1
GCD(312, 721, 657, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 721, 657, 768 is 1
GCD(312, 721, 657, 768) = 1
Given Input numbers are 312, 721, 657, 768
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 312, 721, 657, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 721, 657, 768 is 1.
Therefore, GCD of numbers 312, 721, 657, 768 is 1
Given Input Data is 312, 721, 657, 768
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 721 is 7 x 103
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(312, 721) = 224952
GCD(312, 721) = ( 312 x 721 ) / 224952
GCD(312, 721) = 224952 / 224952
GCD(312, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 312, 721, 657, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 721, 657, 768?
GCD of 312, 721, 657, 768 is 1
2. Where do I get the detailed procedure to find GCD of 312, 721, 657, 768?
You can find a detailed procedure to find GCD of 312, 721, 657, 768 on our page.
3. How to find GCD of 312, 721, 657, 768 on a calculator?
You can find the GCD of 312, 721, 657, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.