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 736, 220, 27, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 220, 27, 720 is 1
GCD(736, 220, 27, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 220, 27, 720 is 1
GCD(736, 220, 27, 720) = 1
Given Input numbers are 736, 220, 27, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
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 736, 220, 27, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 220, 27, 720 is 1.
Therefore, GCD of numbers 736, 220, 27, 720 is 1
Given Input Data is 736, 220, 27, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(736, 220) = 40480
GCD(736, 220) = ( 736 x 220 ) / 40480
GCD(736, 220) = 161920 / 40480
GCD(736, 220) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 27) = 108
GCD(4, 27) = ( 4 x 27 ) / 108
GCD(4, 27) = 108 / 108
GCD(4, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 736, 220, 27, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 220, 27, 720?
GCD of 736, 220, 27, 720 is 1
2. Where do I get the detailed procedure to find GCD of 736, 220, 27, 720?
You can find a detailed procedure to find GCD of 736, 220, 27, 720 on our page.
3. How to find GCD of 736, 220, 27, 720 on a calculator?
You can find the GCD of 736, 220, 27, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.