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, 782, 461, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 782, 461, 600 is 1
GCD(487, 782, 461, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 782, 461, 600 is 1
GCD(487, 782, 461, 600) = 1
Given Input numbers are 487, 782, 461, 600
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 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 487, 782, 461, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 782, 461, 600 is 1.
Therefore, GCD of numbers 487, 782, 461, 600 is 1
Given Input Data is 487, 782, 461, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 461 is 461
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(487, 782) = 380834
GCD(487, 782) = ( 487 x 782 ) / 380834
GCD(487, 782) = 380834 / 380834
GCD(487, 782) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 487, 782, 461, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 782, 461, 600?
GCD of 487, 782, 461, 600 is 1
2. Where do I get the detailed procedure to find GCD of 487, 782, 461, 600?
You can find a detailed procedure to find GCD of 487, 782, 461, 600 on our page.
3. How to find GCD of 487, 782, 461, 600 on a calculator?
You can find the GCD of 487, 782, 461, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.