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 258, 168, 47, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 258, 168, 47, 532 is 1
GCD(258, 168, 47, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 258, 168, 47, 532 is 1
GCD(258, 168, 47, 532) = 1
Given Input numbers are 258, 168, 47, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 258, 168, 47, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 168, 47, 532 is 1.
Therefore, GCD of numbers 258, 168, 47, 532 is 1
Given Input Data is 258, 168, 47, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 258 is 2 x 3 x 43
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 47 is 47
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(258, 168) = 7224
GCD(258, 168) = ( 258 x 168 ) / 7224
GCD(258, 168) = 43344 / 7224
GCD(258, 168) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 47) = 282
GCD(6, 47) = ( 6 x 47 ) / 282
GCD(6, 47) = 282 / 282
GCD(6, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 258, 168, 47, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 258, 168, 47, 532?
GCD of 258, 168, 47, 532 is 1
2. Where do I get the detailed procedure to find GCD of 258, 168, 47, 532?
You can find a detailed procedure to find GCD of 258, 168, 47, 532 on our page.
3. How to find GCD of 258, 168, 47, 532 on a calculator?
You can find the GCD of 258, 168, 47, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.