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 117, 512, 528, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 512, 528, 486 is 1
GCD(117, 512, 528, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 512, 528, 486 is 1
GCD(117, 512, 528, 486) = 1
Given Input numbers are 117, 512, 528, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
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
Greatest Common Divisior
We found the divisors of 117, 512, 528, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 512, 528, 486 is 1.
Therefore, GCD of numbers 117, 512, 528, 486 is 1
Given Input Data is 117, 512, 528, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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(117, 512) = 59904
GCD(117, 512) = ( 117 x 512 ) / 59904
GCD(117, 512) = 59904 / 59904
GCD(117, 512) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 117, 512, 528, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 512, 528, 486?
GCD of 117, 512, 528, 486 is 1
2. Where do I get the detailed procedure to find GCD of 117, 512, 528, 486?
You can find a detailed procedure to find GCD of 117, 512, 528, 486 on our page.
3. How to find GCD of 117, 512, 528, 486 on a calculator?
You can find the GCD of 117, 512, 528, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.