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 604, 698, 280, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 604, 698, 280, 283 is 1
GCD(604, 698, 280, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 698, 280, 283 is 1
GCD(604, 698, 280, 283) = 1
Given Input numbers are 604, 698, 280, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 604, 698, 280, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 698, 280, 283 is 1.
Therefore, GCD of numbers 604, 698, 280, 283 is 1
Given Input Data is 604, 698, 280, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 698 is 2 x 349
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 283 is 283
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(604, 698) = 210796
GCD(604, 698) = ( 604 x 698 ) / 210796
GCD(604, 698) = 421592 / 210796
GCD(604, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
GCD(2, 280) = 560 / 280
GCD(2, 280) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 283) = 566
GCD(2, 283) = ( 2 x 283 ) / 566
GCD(2, 283) = 566 / 566
GCD(2, 283) = 1
GCD of 604, 698, 280, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 698, 280, 283?
GCD of 604, 698, 280, 283 is 1
2. Where do I get the detailed procedure to find GCD of 604, 698, 280, 283?
You can find a detailed procedure to find GCD of 604, 698, 280, 283 on our page.
3. How to find GCD of 604, 698, 280, 283 on a calculator?
You can find the GCD of 604, 698, 280, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.