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, 861, 46, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 861, 46, 220 is 1
GCD(287, 861, 46, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 861, 46, 220 is 1
GCD(287, 861, 46, 220) = 1
Given Input numbers are 287, 861, 46, 220
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 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
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
Greatest Common Divisior
We found the divisors of 287, 861, 46, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 861, 46, 220 is 1.
Therefore, GCD of numbers 287, 861, 46, 220 is 1
Given Input Data is 287, 861, 46, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 46 is 2 x 23
Prime Factorization of 220 is 2 x 2 x 5 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, 861) = 861
GCD(287, 861) = ( 287 x 861 ) / 861
GCD(287, 861) = 247107 / 861
GCD(287, 861) = 287
Step2:
Here we consider the GCD from the above i.e. 287 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(287, 46) = 13202
GCD(287, 46) = ( 287 x 46 ) / 13202
GCD(287, 46) = 13202 / 13202
GCD(287, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 287, 861, 46, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 861, 46, 220?
GCD of 287, 861, 46, 220 is 1
2. Where do I get the detailed procedure to find GCD of 287, 861, 46, 220?
You can find a detailed procedure to find GCD of 287, 861, 46, 220 on our page.
3. How to find GCD of 287, 861, 46, 220 on a calculator?
You can find the GCD of 287, 861, 46, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.