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 486, 134, 53, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 134, 53, 187 is 1
GCD(486, 134, 53, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 134, 53, 187 is 1
GCD(486, 134, 53, 187) = 1
Given Input numbers are 486, 134, 53, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 486, 134, 53, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 134, 53, 187 is 1.
Therefore, GCD of numbers 486, 134, 53, 187 is 1
Given Input Data is 486, 134, 53, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 134 is 2 x 67
Prime Factorization of 53 is 53
Prime Factorization of 187 is 11 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(486, 134) = 32562
GCD(486, 134) = ( 486 x 134 ) / 32562
GCD(486, 134) = 65124 / 32562
GCD(486, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 486, 134, 53, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 134, 53, 187?
GCD of 486, 134, 53, 187 is 1
2. Where do I get the detailed procedure to find GCD of 486, 134, 53, 187?
You can find a detailed procedure to find GCD of 486, 134, 53, 187 on our page.
3. How to find GCD of 486, 134, 53, 187 on a calculator?
You can find the GCD of 486, 134, 53, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.