GCD of 52, 398, 733, 657 Calculator

Given Input numbers are 52, 398, 733, 657

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

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 52, 398, 733, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 398, 733, 657 is 1.

Therefore, GCD of numbers 52, 398, 733, 657 is 1

Given Input Data is 52, 398, 733, 657

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 398 is 2 x 199

Prime Factorization of 733 is 733

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(52, 398) = 10348

GCD(52, 398) = ( 52 x 398 ) / 10348

GCD(52, 398) = 20696 / 10348

GCD(52, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 733

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

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

GCD(2, 733) = 1466 / 1466

GCD(2, 733) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 52, 398, 733, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 211, 292, 666
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• GCD of 76, 144, 267, 712
• GCD of 98, 875, 335, 113

1. What is the GCD of 52, 398, 733, 657?

GCD of 52, 398, 733, 657 is 1

2. Where do I get the detailed procedure to find GCD of 52, 398, 733, 657?

You can find a detailed procedure to find GCD of 52, 398, 733, 657 on our page.

3. How to find GCD of 52, 398, 733, 657 on a calculator?

You can find the GCD of 52, 398, 733, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.