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 57, 300, 658, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 300, 658, 289 is 1
GCD(57, 300, 658, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 300, 658, 289 is 1
GCD(57, 300, 658, 289) = 1
Given Input numbers are 57, 300, 658, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 57, 300, 658, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 300, 658, 289 is 1.
Therefore, GCD of numbers 57, 300, 658, 289 is 1
Given Input Data is 57, 300, 658, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 289 is 17 x 17
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(57, 300) = 5700
GCD(57, 300) = ( 57 x 300 ) / 5700
GCD(57, 300) = 17100 / 5700
GCD(57, 300) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 658) = 1974
GCD(3, 658) = ( 3 x 658 ) / 1974
GCD(3, 658) = 1974 / 1974
GCD(3, 658) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 57, 300, 658, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 300, 658, 289?
GCD of 57, 300, 658, 289 is 1
2. Where do I get the detailed procedure to find GCD of 57, 300, 658, 289?
You can find a detailed procedure to find GCD of 57, 300, 658, 289 on our page.
3. How to find GCD of 57, 300, 658, 289 on a calculator?
You can find the GCD of 57, 300, 658, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.