GCD of 516, 538, 160, 276 Calculator

Given Input numbers are 516, 538, 160, 276

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

Greatest Common Divisior

We found the divisors of 516, 538, 160, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 538, 160, 276 is 2.

Therefore, GCD of numbers 516, 538, 160, 276 is 2

Given Input Data is 516, 538, 160, 276

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 538 is 2 x 269

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

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(516, 538) = 138804

GCD(516, 538) = ( 516 x 538 ) / 138804

GCD(516, 538) = 277608 / 138804

GCD(516, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

Step3:

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

GCD of 516, 538, 160, 276 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 732, 467, 109
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• GCD of 723, 730, 904, 867
• GCD of 291, 838, 392, 463

1. What is the GCD of 516, 538, 160, 276?

GCD of 516, 538, 160, 276 is 2

2. Where do I get the detailed procedure to find GCD of 516, 538, 160, 276?

You can find a detailed procedure to find GCD of 516, 538, 160, 276 on our page.

3. How to find GCD of 516, 538, 160, 276 on a calculator?

You can find the GCD of 516, 538, 160, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.