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 46, 495, 588, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 495, 588, 531 is 1
GCD(46, 495, 588, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 495, 588, 531 is 1
GCD(46, 495, 588, 531) = 1
Given Input numbers are 46, 495, 588, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
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 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 46, 495, 588, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 495, 588, 531 is 1.
Therefore, GCD of numbers 46, 495, 588, 531 is 1
Given Input Data is 46, 495, 588, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 531 is 3 x 3 x 59
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(46, 495) = 22770
GCD(46, 495) = ( 46 x 495 ) / 22770
GCD(46, 495) = 22770 / 22770
GCD(46, 495) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
GCD of 46, 495, 588, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 495, 588, 531?
GCD of 46, 495, 588, 531 is 1
2. Where do I get the detailed procedure to find GCD of 46, 495, 588, 531?
You can find a detailed procedure to find GCD of 46, 495, 588, 531 on our page.
3. How to find GCD of 46, 495, 588, 531 on a calculator?
You can find the GCD of 46, 495, 588, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.