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 492, 482, 309, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 482, 309, 677 is 1
GCD(492, 482, 309, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 482, 309, 677 is 1
GCD(492, 482, 309, 677) = 1
Given Input numbers are 492, 482, 309, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 492, 482, 309, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 482, 309, 677 is 1.
Therefore, GCD of numbers 492, 482, 309, 677 is 1
Given Input Data is 492, 482, 309, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 482 is 2 x 241
Prime Factorization of 309 is 3 x 103
Prime Factorization of 677 is 677
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(492, 482) = 118572
GCD(492, 482) = ( 492 x 482 ) / 118572
GCD(492, 482) = 237144 / 118572
GCD(492, 482) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
GCD(2, 309) = 618 / 618
GCD(2, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 492, 482, 309, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 482, 309, 677?
GCD of 492, 482, 309, 677 is 1
2. Where do I get the detailed procedure to find GCD of 492, 482, 309, 677?
You can find a detailed procedure to find GCD of 492, 482, 309, 677 on our page.
3. How to find GCD of 492, 482, 309, 677 on a calculator?
You can find the GCD of 492, 482, 309, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.