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 302, 505, 49, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 505, 49, 684 is 1
GCD(302, 505, 49, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 505, 49, 684 is 1
GCD(302, 505, 49, 684) = 1
Given Input numbers are 302, 505, 49, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 302, 505, 49, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 505, 49, 684 is 1.
Therefore, GCD of numbers 302, 505, 49, 684 is 1
Given Input Data is 302, 505, 49, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 505 is 5 x 101
Prime Factorization of 49 is 7 x 7
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(302, 505) = 152510
GCD(302, 505) = ( 302 x 505 ) / 152510
GCD(302, 505) = 152510 / 152510
GCD(302, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 302, 505, 49, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 505, 49, 684?
GCD of 302, 505, 49, 684 is 1
2. Where do I get the detailed procedure to find GCD of 302, 505, 49, 684?
You can find a detailed procedure to find GCD of 302, 505, 49, 684 on our page.
3. How to find GCD of 302, 505, 49, 684 on a calculator?
You can find the GCD of 302, 505, 49, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.