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 382, 168, 86, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 168, 86, 537 is 1
GCD(382, 168, 86, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 168, 86, 537 is 1
GCD(382, 168, 86, 537) = 1
Given Input numbers are 382, 168, 86, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
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 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 382, 168, 86, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 168, 86, 537 is 1.
Therefore, GCD of numbers 382, 168, 86, 537 is 1
Given Input Data is 382, 168, 86, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 86 is 2 x 43
Prime Factorization of 537 is 3 x 179
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(382, 168) = 32088
GCD(382, 168) = ( 382 x 168 ) / 32088
GCD(382, 168) = 64176 / 32088
GCD(382, 168) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
GCD(2, 537) = 1074 / 1074
GCD(2, 537) = 1
GCD of 382, 168, 86, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 168, 86, 537?
GCD of 382, 168, 86, 537 is 1
2. Where do I get the detailed procedure to find GCD of 382, 168, 86, 537?
You can find a detailed procedure to find GCD of 382, 168, 86, 537 on our page.
3. How to find GCD of 382, 168, 86, 537 on a calculator?
You can find the GCD of 382, 168, 86, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.