GCD of 457, 455, 616, 212 Calculator

Given Input numbers are 457, 455, 616, 212

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 457, 455, 616, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 455, 616, 212 is 1.

Therefore, GCD of numbers 457, 455, 616, 212 is 1

Given Input Data is 457, 455, 616, 212

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

Prime Factorization of 457 is 457

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 212 is 2 x 2 x 53

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(457, 455) = 207935

GCD(457, 455) = ( 457 x 455 ) / 207935

GCD(457, 455) = 207935 / 207935

GCD(457, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 457, 455, 616, 212 is 1

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1. What is the GCD of 457, 455, 616, 212?

GCD of 457, 455, 616, 212 is 1

2. Where do I get the detailed procedure to find GCD of 457, 455, 616, 212?

You can find a detailed procedure to find GCD of 457, 455, 616, 212 on our page.

3. How to find GCD of 457, 455, 616, 212 on a calculator?

You can find the GCD of 457, 455, 616, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.