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 807, 288, 77, 482 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 288, 77, 482 is 1
GCD(807, 288, 77, 482) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 288, 77, 482 is 1
GCD(807, 288, 77, 482) = 1
Given Input numbers are 807, 288, 77, 482
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 807, 288, 77, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 288, 77, 482 is 1.
Therefore, GCD of numbers 807, 288, 77, 482 is 1
Given Input Data is 807, 288, 77, 482
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 77 is 7 x 11
Prime Factorization of 482 is 2 x 241
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(807, 288) = 77472
GCD(807, 288) = ( 807 x 288 ) / 77472
GCD(807, 288) = 232416 / 77472
GCD(807, 288) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 482) = 482
GCD(1, 482) = ( 1 x 482 ) / 482
GCD(1, 482) = 482 / 482
GCD(1, 482) = 1
GCD of 807, 288, 77, 482 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 288, 77, 482?
GCD of 807, 288, 77, 482 is 1
2. Where do I get the detailed procedure to find GCD of 807, 288, 77, 482?
You can find a detailed procedure to find GCD of 807, 288, 77, 482 on our page.
3. How to find GCD of 807, 288, 77, 482 on a calculator?
You can find the GCD of 807, 288, 77, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.