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 499, 570, 46, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 499, 570, 46, 678 is 1
GCD(499, 570, 46, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 499, 570, 46, 678 is 1
GCD(499, 570, 46, 678) = 1
Given Input numbers are 499, 570, 46, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 499, 570, 46, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 570, 46, 678 is 1.
Therefore, GCD of numbers 499, 570, 46, 678 is 1
Given Input Data is 499, 570, 46, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 499 is 499
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 46 is 2 x 23
Prime Factorization of 678 is 2 x 3 x 113
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(499, 570) = 284430
GCD(499, 570) = ( 499 x 570 ) / 284430
GCD(499, 570) = 284430 / 284430
GCD(499, 570) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 499, 570, 46, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 499, 570, 46, 678?
GCD of 499, 570, 46, 678 is 1
2. Where do I get the detailed procedure to find GCD of 499, 570, 46, 678?
You can find a detailed procedure to find GCD of 499, 570, 46, 678 on our page.
3. How to find GCD of 499, 570, 46, 678 on a calculator?
You can find the GCD of 499, 570, 46, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.