GCD of 210, 540, 351 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 210, 540, 351 i.e. 3 largest integer that divides all the numbers equally.
GCD of 210, 540, 351 is 3
GCD(210, 540, 351) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 540, 351 is 3
GCD(210, 540, 351) = 3
GCDof 210,540,351 is 3
Given Input numbers are 210, 540, 351
To find the GCD of numbers using factoring list out all the divisors of each number
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 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 210, 540, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 540, 351 is 3.
Therefore, GCD of numbers 210, 540, 351 is 3
Given Input Data is 210, 540, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 351 is 3 x 3 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 210, 540, 351 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(210, 540) = 3780
GCD(210, 540) = ( 210 x 540 ) / 3780
GCD(210, 540) = 113400 / 3780
GCD(210, 540) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 351) = 3510
GCD(30, 351) = ( 30 x 351 ) / 3510
GCD(30, 351) = 10530 / 3510
GCD(30, 351) = 3
GCD of 210, 540, 351 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 210, 540, 351
1. What is the GCD of 210, 540, 351?
GCD of 210, 540, 351 is 3
2. Where do I get the detailed procedure to find GCD of 210, 540, 351?
You can find a detailed procedure to find GCD of 210, 540, 351 on our page.
3. How to find GCD of 210, 540, 351 on a calculator?
You can find the GCD of 210, 540, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.