GCD of 314, 450, 21, 516 Calculator

Given Input numbers are 314, 450, 21, 516

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 314, 450, 21, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 450, 21, 516 is 1.

Therefore, GCD of numbers 314, 450, 21, 516 is 1

Given Input Data is 314, 450, 21, 516

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 21 is 3 x 7

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

The above numbers do not have any common prime factor. So GCD is 1

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(314, 450) = 70650

GCD(314, 450) = ( 314 x 450 ) / 70650

GCD(314, 450) = 141300 / 70650

GCD(314, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 314, 450, 21, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 338, 50, 102
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• GCD of 245, 281, 54, 248
• GCD of 942, 209, 69, 594
• GCD of 344, 948, 41, 607

1. What is the GCD of 314, 450, 21, 516?

GCD of 314, 450, 21, 516 is 1

2. Where do I get the detailed procedure to find GCD of 314, 450, 21, 516?

You can find a detailed procedure to find GCD of 314, 450, 21, 516 on our page.

3. How to find GCD of 314, 450, 21, 516 on a calculator?

You can find the GCD of 314, 450, 21, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.