GCD of 641, 462, 457, 343 Calculator

Given Input numbers are 641, 462, 457, 343

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

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 457

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

1, 457

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 641, 462, 457, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 641, 462, 457, 343 is 1.

Therefore, GCD of numbers 641, 462, 457, 343 is 1

Given Input Data is 641, 462, 457, 343

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

Prime Factorization of 641 is 641

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 457 is 457

Prime Factorization of 343 is 7 x 7 x 7

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(641, 462) = 296142

GCD(641, 462) = ( 641 x 462 ) / 296142

GCD(641, 462) = 296142 / 296142

GCD(641, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 641, 462, 457, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 737, 109, 502
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• GCD of 349, 424, 538, 763

1. What is the GCD of 641, 462, 457, 343?

GCD of 641, 462, 457, 343 is 1

2. Where do I get the detailed procedure to find GCD of 641, 462, 457, 343?

You can find a detailed procedure to find GCD of 641, 462, 457, 343 on our page.

3. How to find GCD of 641, 462, 457, 343 on a calculator?

You can find the GCD of 641, 462, 457, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.