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 812, 127, 51, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 127, 51, 480 is 1
GCD(812, 127, 51, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 127, 51, 480 is 1
GCD(812, 127, 51, 480) = 1
Given Input numbers are 812, 127, 51, 480
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 812, 127, 51, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 127, 51, 480 is 1.
Therefore, GCD of numbers 812, 127, 51, 480 is 1
Given Input Data is 812, 127, 51, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 127 is 127
Prime Factorization of 51 is 3 x 17
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 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(812, 127) = 103124
GCD(812, 127) = ( 812 x 127 ) / 103124
GCD(812, 127) = 103124 / 103124
GCD(812, 127) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 812, 127, 51, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 127, 51, 480?
GCD of 812, 127, 51, 480 is 1
2. Where do I get the detailed procedure to find GCD of 812, 127, 51, 480?
You can find a detailed procedure to find GCD of 812, 127, 51, 480 on our page.
3. How to find GCD of 812, 127, 51, 480 on a calculator?
You can find the GCD of 812, 127, 51, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.