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 457, 588, 144, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 588, 144, 559 is 1
GCD(457, 588, 144, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 588, 144, 559 is 1
GCD(457, 588, 144, 559) = 1
Given Input numbers are 457, 588, 144, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 457, 588, 144, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 588, 144, 559 is 1.
Therefore, GCD of numbers 457, 588, 144, 559 is 1
Given Input Data is 457, 588, 144, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 559 is 13 x 43
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(457, 588) = 268716
GCD(457, 588) = ( 457 x 588 ) / 268716
GCD(457, 588) = 268716 / 268716
GCD(457, 588) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 457, 588, 144, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 588, 144, 559?
GCD of 457, 588, 144, 559 is 1
2. Where do I get the detailed procedure to find GCD of 457, 588, 144, 559?
You can find a detailed procedure to find GCD of 457, 588, 144, 559 on our page.
3. How to find GCD of 457, 588, 144, 559 on a calculator?
You can find the GCD of 457, 588, 144, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.