GCD of 274, 460, 516 Calculator

Given Input numbers are 274, 460, 516

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Greatest Common Divisior

We found the divisors of 274, 460, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 460, 516 is 2.

Therefore, GCD of numbers 274, 460, 516 is 2

Given Input Data is 274, 460, 516

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

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(274, 460) = 63020

GCD(274, 460) = ( 274 x 460 ) / 63020

GCD(274, 460) = 126040 / 63020

GCD(274, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 274, 460, 516 is 2

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1. What is the GCD of 274, 460, 516?

GCD of 274, 460, 516 is 2

2. Where do I get the detailed procedure to find GCD of 274, 460, 516?

You can find a detailed procedure to find GCD of 274, 460, 516 on our page.

3. How to find GCD of 274, 460, 516 on a calculator?

You can find the GCD of 274, 460, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.