GCD of 457, 269, 738, 634 Calculator

Given Input numbers are 457, 269, 738, 634

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 457, 269, 738, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 269, 738, 634 is 1.

Therefore, GCD of numbers 457, 269, 738, 634 is 1

Given Input Data is 457, 269, 738, 634

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

Prime Factorization of 457 is 457

Prime Factorization of 269 is 269

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 634 is 2 x 317

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, 269) = 122933

GCD(457, 269) = ( 457 x 269 ) / 122933

GCD(457, 269) = 122933 / 122933

GCD(457, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 457, 269, 738, 634 is 1

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1. What is the GCD of 457, 269, 738, 634?

GCD of 457, 269, 738, 634 is 1

2. Where do I get the detailed procedure to find GCD of 457, 269, 738, 634?

You can find a detailed procedure to find GCD of 457, 269, 738, 634 on our page.

3. How to find GCD of 457, 269, 738, 634 on a calculator?

You can find the GCD of 457, 269, 738, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.