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 49, 720, 270, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 720, 270, 812 is 1
GCD(49, 720, 270, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 720, 270, 812 is 1
GCD(49, 720, 270, 812) = 1
Given Input numbers are 49, 720, 270, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 49, 720, 270, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 720, 270, 812 is 1.
Therefore, GCD of numbers 49, 720, 270, 812 is 1
Given Input Data is 49, 720, 270, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(49, 720) = 35280
GCD(49, 720) = ( 49 x 720 ) / 35280
GCD(49, 720) = 35280 / 35280
GCD(49, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 49, 720, 270, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 720, 270, 812?
GCD of 49, 720, 270, 812 is 1
2. Where do I get the detailed procedure to find GCD of 49, 720, 270, 812?
You can find a detailed procedure to find GCD of 49, 720, 270, 812 on our page.
3. How to find GCD of 49, 720, 270, 812 on a calculator?
You can find the GCD of 49, 720, 270, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.