GCD of 687, 267, 507 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 687, 267, 507 i.e. 3 largest integer that divides all the numbers equally.
GCD of 687, 267, 507 is 3
GCD(687, 267, 507) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 267, 507 is 3
GCD(687, 267, 507) = 3
GCDof 687,267,507 is 3
Given Input numbers are 687, 267, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 687, 267, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 267, 507 is 3.
Therefore, GCD of numbers 687, 267, 507 is 3
Given Input Data is 687, 267, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 267 is 3 x 89
Prime Factorization of 507 is 3 x 13 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 687, 267, 507 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(687, 267) = 61143
GCD(687, 267) = ( 687 x 267 ) / 61143
GCD(687, 267) = 183429 / 61143
GCD(687, 267) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
GCD(3, 507) = 1521 / 507
GCD(3, 507) = 3
GCD of 687, 267, 507 is 3
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FAQs on GCD of numbers 687, 267, 507
1. What is the GCD of 687, 267, 507?
GCD of 687, 267, 507 is 3
2. Where do I get the detailed procedure to find GCD of 687, 267, 507?
You can find a detailed procedure to find GCD of 687, 267, 507 on our page.
3. How to find GCD of 687, 267, 507 on a calculator?
You can find the GCD of 687, 267, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.