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 287, 880, 90, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 880, 90, 462 is 1
GCD(287, 880, 90, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 880, 90, 462 is 1
GCD(287, 880, 90, 462) = 1
Given Input numbers are 287, 880, 90, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 287, 880, 90, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 880, 90, 462 is 1.
Therefore, GCD of numbers 287, 880, 90, 462 is 1
Given Input Data is 287, 880, 90, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(287, 880) = 252560
GCD(287, 880) = ( 287 x 880 ) / 252560
GCD(287, 880) = 252560 / 252560
GCD(287, 880) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 287, 880, 90, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 880, 90, 462?
GCD of 287, 880, 90, 462 is 1
2. Where do I get the detailed procedure to find GCD of 287, 880, 90, 462?
You can find a detailed procedure to find GCD of 287, 880, 90, 462 on our page.
3. How to find GCD of 287, 880, 90, 462 on a calculator?
You can find the GCD of 287, 880, 90, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.