GCD of 530, 802, 276, 210 Calculator

Given Input numbers are 530, 802, 276, 210

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

Greatest Common Divisior

We found the divisors of 530, 802, 276, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 802, 276, 210 is 2.

Therefore, GCD of numbers 530, 802, 276, 210 is 2

Given Input Data is 530, 802, 276, 210

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 802 is 2 x 401

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 210 is 2 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(530, 802) = 212530

GCD(530, 802) = ( 530 x 802 ) / 212530

GCD(530, 802) = 425060 / 212530

GCD(530, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 276

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

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

GCD(2, 276) = 552 / 276

GCD(2, 276) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 530, 802, 276, 210 is 2

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1. What is the GCD of 530, 802, 276, 210?

GCD of 530, 802, 276, 210 is 2

2. Where do I get the detailed procedure to find GCD of 530, 802, 276, 210?

You can find a detailed procedure to find GCD of 530, 802, 276, 210 on our page.

3. How to find GCD of 530, 802, 276, 210 on a calculator?

You can find the GCD of 530, 802, 276, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.