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 487, 362, 490, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 362, 490, 587 is 1
GCD(487, 362, 490, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 362, 490, 587 is 1
GCD(487, 362, 490, 587) = 1
Given Input numbers are 487, 362, 490, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 487, 362, 490, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 362, 490, 587 is 1.
Therefore, GCD of numbers 487, 362, 490, 587 is 1
Given Input Data is 487, 362, 490, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 362 is 2 x 181
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 587 is 587
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(487, 362) = 176294
GCD(487, 362) = ( 487 x 362 ) / 176294
GCD(487, 362) = 176294 / 176294
GCD(487, 362) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 487, 362, 490, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 362, 490, 587?
GCD of 487, 362, 490, 587 is 1
2. Where do I get the detailed procedure to find GCD of 487, 362, 490, 587?
You can find a detailed procedure to find GCD of 487, 362, 490, 587 on our page.
3. How to find GCD of 487, 362, 490, 587 on a calculator?
You can find the GCD of 487, 362, 490, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.