GCD of 657, 501, 38, 431 Calculator

Given Input numbers are 657, 501, 38, 431

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 657, 501, 38, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 501, 38, 431 is 1.

Therefore, GCD of numbers 657, 501, 38, 431 is 1

Given Input Data is 657, 501, 38, 431

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 501 is 3 x 167

Prime Factorization of 38 is 2 x 19

Prime Factorization of 431 is 431

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(657, 501) = 109719

GCD(657, 501) = ( 657 x 501 ) / 109719

GCD(657, 501) = 329157 / 109719

GCD(657, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 38

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

LCM(3, 38) = 114

GCD(3, 38) = ( 3 x 38 ) / 114

GCD(3, 38) = 114 / 114

GCD(3, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 657, 501, 38, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 294, 84, 215
• GCD of 964, 378, 77, 631
• GCD of 384, 169, 67, 571
• GCD of 278, 254, 45, 929
• GCD of 403, 680, 69, 481

1. What is the GCD of 657, 501, 38, 431?

GCD of 657, 501, 38, 431 is 1

2. Where do I get the detailed procedure to find GCD of 657, 501, 38, 431?

You can find a detailed procedure to find GCD of 657, 501, 38, 431 on our page.

3. How to find GCD of 657, 501, 38, 431 on a calculator?

You can find the GCD of 657, 501, 38, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.