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, 600, 75, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 604, 600, 75, 257 is 1
GCD(604, 600, 75, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 600, 75, 257 is 1
GCD(604, 600, 75, 257) = 1
Given Input numbers are 604, 600, 75, 257
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 604, 600, 75, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 600, 75, 257 is 1.
Therefore, GCD of numbers 604, 600, 75, 257 is 1
Given Input Data is 604, 600, 75, 257
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 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 257 is 257
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, 600) = 90600
GCD(604, 600) = ( 604 x 600 ) / 90600
GCD(604, 600) = 362400 / 90600
GCD(604, 600) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 75) = 300
GCD(4, 75) = ( 4 x 75 ) / 300
GCD(4, 75) = 300 / 300
GCD(4, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 604, 600, 75, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 600, 75, 257?
GCD of 604, 600, 75, 257 is 1
2. Where do I get the detailed procedure to find GCD of 604, 600, 75, 257?
You can find a detailed procedure to find GCD of 604, 600, 75, 257 on our page.
3. How to find GCD of 604, 600, 75, 257 on a calculator?
You can find the GCD of 604, 600, 75, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.