GCD of 210, 507, 453 Calculator

Given Input numbers are 210, 507, 453

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 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 210, 507, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 507, 453 is 3.

Therefore, GCD of numbers 210, 507, 453 is 3

Given Input Data is 210, 507, 453

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 507 is 3 x 13 x 13

Prime Factorization of 453 is 3 x 151

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 507) = 35490

GCD(210, 507) = ( 210 x 507 ) / 35490

GCD(210, 507) = 106470 / 35490

GCD(210, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 453

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

GCD(3, 453) = 1359 / 453

GCD(3, 453) = 3

GCD of 210, 507, 453 is 3

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• GCD of 285, 132, 164
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1. What is the GCD of 210, 507, 453?

GCD of 210, 507, 453 is 3

2. Where do I get the detailed procedure to find GCD of 210, 507, 453?

You can find a detailed procedure to find GCD of 210, 507, 453 on our page.

3. How to find GCD of 210, 507, 453 on a calculator?

You can find the GCD of 210, 507, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.