GCD of 210, 539, 28 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, 539, 28 i.e. 7 largest integer that divides all the numbers equally.
GCD of 210, 539, 28 is 7
GCD(210, 539, 28) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 539, 28 is 7
GCD(210, 539, 28) = 7
GCDof 210,539,28 is 7
Given Input numbers are 210, 539, 28
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 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Greatest Common Divisior
We found the divisors of 210, 539, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 539, 28 is 7.
Therefore, GCD of numbers 210, 539, 28 is 7
Given Input Data is 210, 539, 28
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 539 is 7 x 7 x 11
Prime Factorization of 28 is 2 x 2 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 210, 539, 28 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, 539) = 16170
GCD(210, 539) = ( 210 x 539 ) / 16170
GCD(210, 539) = 113190 / 16170
GCD(210, 539) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 28) = 28
GCD(7, 28) = ( 7 x 28 ) / 28
GCD(7, 28) = 196 / 28
GCD(7, 28) = 7
GCD of 210, 539, 28 is 7
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 210, 539, 28
1. What is the GCD of 210, 539, 28?
GCD of 210, 539, 28 is 7
2. Where do I get the detailed procedure to find GCD of 210, 539, 28?
You can find a detailed procedure to find GCD of 210, 539, 28 on our page.
3. How to find GCD of 210, 539, 28 on a calculator?
You can find the GCD of 210, 539, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.