GCD of 510, 708, 267 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 510, 708, 267 i.e. 3 largest integer that divides all the numbers equally.
GCD of 510, 708, 267 is 3
GCD(510, 708, 267) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 708, 267 is 3
GCD(510, 708, 267) = 3
GCDof 510,708,267 is 3
Given Input numbers are 510, 708, 267
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 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 510, 708, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 708, 267 is 3.
Therefore, GCD of numbers 510, 708, 267 is 3
Given Input Data is 510, 708, 267
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 708 is 2 x 2 x 3 x 59
Prime Factorization of 267 is 3 x 89
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 510, 708, 267 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(510, 708) = 60180
GCD(510, 708) = ( 510 x 708 ) / 60180
GCD(510, 708) = 361080 / 60180
GCD(510, 708) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 267) = 534
GCD(6, 267) = ( 6 x 267 ) / 534
GCD(6, 267) = 1602 / 534
GCD(6, 267) = 3
GCD of 510, 708, 267 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 510, 708, 267
1. What is the GCD of 510, 708, 267?
GCD of 510, 708, 267 is 3
2. Where do I get the detailed procedure to find GCD of 510, 708, 267?
You can find a detailed procedure to find GCD of 510, 708, 267 on our page.
3. How to find GCD of 510, 708, 267 on a calculator?
You can find the GCD of 510, 708, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.