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 27, 784, 612, 672 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 784, 612, 672 is 1
GCD(27, 784, 612, 672) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 784, 612, 672 is 1
GCD(27, 784, 612, 672) = 1
Given Input numbers are 27, 784, 612, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 27, 784, 612, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 784, 612, 672 is 1.
Therefore, GCD of numbers 27, 784, 612, 672 is 1
Given Input Data is 27, 784, 612, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
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(27, 784) = 21168
GCD(27, 784) = ( 27 x 784 ) / 21168
GCD(27, 784) = 21168 / 21168
GCD(27, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
GCD(1, 672) = 672 / 672
GCD(1, 672) = 1
GCD of 27, 784, 612, 672 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 784, 612, 672?
GCD of 27, 784, 612, 672 is 1
2. Where do I get the detailed procedure to find GCD of 27, 784, 612, 672?
You can find a detailed procedure to find GCD of 27, 784, 612, 672 on our page.
3. How to find GCD of 27, 784, 612, 672 on a calculator?
You can find the GCD of 27, 784, 612, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.