GCD of 678, 210, 724 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 678, 210, 724 i.e. 2 largest integer that divides all the numbers equally.
GCD of 678, 210, 724 is 2
GCD(678, 210, 724) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 210, 724 is 2
GCD(678, 210, 724) = 2
GCDof 678,210,724 is 2
Given Input numbers are 678, 210, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 678, 210, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 210, 724 is 2.
Therefore, GCD of numbers 678, 210, 724 is 2
Given Input Data is 678, 210, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 724 is 2 x 2 x 181
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 678, 210, 724 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(678, 210) = 23730
GCD(678, 210) = ( 678 x 210 ) / 23730
GCD(678, 210) = 142380 / 23730
GCD(678, 210) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 724) = 2172
GCD(6, 724) = ( 6 x 724 ) / 2172
GCD(6, 724) = 4344 / 2172
GCD(6, 724) = 2
GCD of 678, 210, 724 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 678, 210, 724
1. What is the GCD of 678, 210, 724?
GCD of 678, 210, 724 is 2
2. Where do I get the detailed procedure to find GCD of 678, 210, 724?
You can find a detailed procedure to find GCD of 678, 210, 724 on our page.
3. How to find GCD of 678, 210, 724 on a calculator?
You can find the GCD of 678, 210, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
