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 510, 495, 332, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 495, 332, 130 is 1
GCD(510, 495, 332, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 495, 332, 130 is 1
GCD(510, 495, 332, 130) = 1
Given Input numbers are 510, 495, 332, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 510, 495, 332, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 495, 332, 130 is 1.
Therefore, GCD of numbers 510, 495, 332, 130 is 1
Given Input Data is 510, 495, 332, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 130 is 2 x 5 x 13
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(510, 495) = 16830
GCD(510, 495) = ( 510 x 495 ) / 16830
GCD(510, 495) = 252450 / 16830
GCD(510, 495) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 332) = 4980
GCD(15, 332) = ( 15 x 332 ) / 4980
GCD(15, 332) = 4980 / 4980
GCD(15, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 510, 495, 332, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 495, 332, 130?
GCD of 510, 495, 332, 130 is 1
2. Where do I get the detailed procedure to find GCD of 510, 495, 332, 130?
You can find a detailed procedure to find GCD of 510, 495, 332, 130 on our page.
3. How to find GCD of 510, 495, 332, 130 on a calculator?
You can find the GCD of 510, 495, 332, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.