GCD of 407, 671, 53, 516 Calculator

Given Input numbers are 407, 671, 53, 516

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 407, 671, 53, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 671, 53, 516 is 1.

Therefore, GCD of numbers 407, 671, 53, 516 is 1

Given Input Data is 407, 671, 53, 516

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 671 is 11 x 61

Prime Factorization of 53 is 53

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(407, 671) = 24827

GCD(407, 671) = ( 407 x 671 ) / 24827

GCD(407, 671) = 273097 / 24827

GCD(407, 671) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 53

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

LCM(11, 53) = 583

GCD(11, 53) = ( 11 x 53 ) / 583

GCD(11, 53) = 583 / 583

GCD(11, 53) = 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 407, 671, 53, 516 is 1

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• GCD of 654, 394, 61, 389
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1. What is the GCD of 407, 671, 53, 516?

GCD of 407, 671, 53, 516 is 1

2. Where do I get the detailed procedure to find GCD of 407, 671, 53, 516?

You can find a detailed procedure to find GCD of 407, 671, 53, 516 on our page.

3. How to find GCD of 407, 671, 53, 516 on a calculator?

You can find the GCD of 407, 671, 53, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.