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 554, 443, 302, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 554, 443, 302, 684 is 1
GCD(554, 443, 302, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 554, 443, 302, 684 is 1
GCD(554, 443, 302, 684) = 1
Given Input numbers are 554, 443, 302, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
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 554, 443, 302, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 443, 302, 684 is 1.
Therefore, GCD of numbers 554, 443, 302, 684 is 1
Given Input Data is 554, 443, 302, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 554 is 2 x 277
Prime Factorization of 443 is 443
Prime Factorization of 302 is 2 x 151
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(554, 443) = 245422
GCD(554, 443) = ( 554 x 443 ) / 245422
GCD(554, 443) = 245422 / 245422
GCD(554, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 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 554, 443, 302, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 554, 443, 302, 684?
GCD of 554, 443, 302, 684 is 1
2. Where do I get the detailed procedure to find GCD of 554, 443, 302, 684?
You can find a detailed procedure to find GCD of 554, 443, 302, 684 on our page.
3. How to find GCD of 554, 443, 302, 684 on a calculator?
You can find the GCD of 554, 443, 302, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.