GCD of 496, 188, 626, 657 Calculator

Given Input numbers are 496, 188, 626, 657

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 496, 188, 626, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 188, 626, 657 is 1.

Therefore, GCD of numbers 496, 188, 626, 657 is 1

Given Input Data is 496, 188, 626, 657

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 626 is 2 x 313

Prime Factorization of 657 is 3 x 3 x 73

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(496, 188) = 23312

GCD(496, 188) = ( 496 x 188 ) / 23312

GCD(496, 188) = 93248 / 23312

GCD(496, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 626

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

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

GCD(4, 626) = 2504 / 1252

GCD(4, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 496, 188, 626, 657 is 1

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1. What is the GCD of 496, 188, 626, 657?

GCD of 496, 188, 626, 657 is 1

2. Where do I get the detailed procedure to find GCD of 496, 188, 626, 657?

You can find a detailed procedure to find GCD of 496, 188, 626, 657 on our page.

3. How to find GCD of 496, 188, 626, 657 on a calculator?

You can find the GCD of 496, 188, 626, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.