GCD of 706, 457, 382, 490 Calculator

Given Input numbers are 706, 457, 382, 490

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 457

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

1, 457

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 706, 457, 382, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 457, 382, 490 is 1.

Therefore, GCD of numbers 706, 457, 382, 490 is 1

Given Input Data is 706, 457, 382, 490

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 457 is 457

Prime Factorization of 382 is 2 x 191

Prime Factorization of 490 is 2 x 5 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(706, 457) = 322642

GCD(706, 457) = ( 706 x 457 ) / 322642

GCD(706, 457) = 322642 / 322642

GCD(706, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 706, 457, 382, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 208, 724, 522
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• GCD of 559, 969, 820, 743
• GCD of 188, 861, 569, 109
• GCD of 317, 488, 886, 490

1. What is the GCD of 706, 457, 382, 490?

GCD of 706, 457, 382, 490 is 1

2. Where do I get the detailed procedure to find GCD of 706, 457, 382, 490?

You can find a detailed procedure to find GCD of 706, 457, 382, 490 on our page.

3. How to find GCD of 706, 457, 382, 490 on a calculator?

You can find the GCD of 706, 457, 382, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.