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 664, 790, 612, 720 i.e. 2 largest integer that divides all the numbers equally.
GCD of 664, 790, 612, 720 is 2
GCD(664, 790, 612, 720) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 790, 612, 720 is 2
GCD(664, 790, 612, 720) = 2
Given Input numbers are 664, 790, 612, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
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 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 664, 790, 612, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 790, 612, 720 is 2.
Therefore, GCD of numbers 664, 790, 612, 720 is 2
Given Input Data is 664, 790, 612, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(664, 790) = 262280
GCD(664, 790) = ( 664 x 790 ) / 262280
GCD(664, 790) = 524560 / 262280
GCD(664, 790) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 612) = 612
GCD(2, 612) = ( 2 x 612 ) / 612
GCD(2, 612) = 1224 / 612
GCD(2, 612) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
GCD(2, 720) = 1440 / 720
GCD(2, 720) = 2
GCD of 664, 790, 612, 720 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 790, 612, 720?
GCD of 664, 790, 612, 720 is 2
2. Where do I get the detailed procedure to find GCD of 664, 790, 612, 720?
You can find a detailed procedure to find GCD of 664, 790, 612, 720 on our page.
3. How to find GCD of 664, 790, 612, 720 on a calculator?
You can find the GCD of 664, 790, 612, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.