GCD of 156, 510, 531 Calculator
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 156, 510, 531 i.e. 3 largest integer that divides all the numbers equally.
GCD of 156, 510, 531 is 3
GCD(156, 510, 531) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 510, 531 is 3
GCD(156, 510, 531) = 3
GCDof 156,510,531 is 3
Given Input numbers are 156, 510, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 156, 510, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 510, 531 is 3.
Therefore, GCD of numbers 156, 510, 531 is 3
Given Input Data is 156, 510, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 531 is 3 x 3 x 59
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 156, 510, 531 using LCM Formula
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(156, 510) = 13260
GCD(156, 510) = ( 156 x 510 ) / 13260
GCD(156, 510) = 79560 / 13260
GCD(156, 510) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 531) = 1062
GCD(6, 531) = ( 6 x 531 ) / 1062
GCD(6, 531) = 3186 / 1062
GCD(6, 531) = 3
GCD of 156, 510, 531 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 156, 510, 531
1. What is the GCD of 156, 510, 531?
GCD of 156, 510, 531 is 3
2. Where do I get the detailed procedure to find GCD of 156, 510, 531?
You can find a detailed procedure to find GCD of 156, 510, 531 on our page.
3. How to find GCD of 156, 510, 531 on a calculator?
You can find the GCD of 156, 510, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
