GCD of 490, 676, 43, 738 Calculator

Given Input numbers are 490, 676, 43, 738

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

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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

Greatest Common Divisior

We found the divisors of 490, 676, 43, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 676, 43, 738 is 1.

Therefore, GCD of numbers 490, 676, 43, 738 is 1

Given Input Data is 490, 676, 43, 738

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 43 is 43

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

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(490, 676) = 165620

GCD(490, 676) = ( 490 x 676 ) / 165620

GCD(490, 676) = 331240 / 165620

GCD(490, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

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

GCD of 490, 676, 43, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 486, 83, 359
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• GCD of 607, 894, 99, 717
• GCD of 258, 128, 65, 199
• GCD of 136, 147, 77, 990

1. What is the GCD of 490, 676, 43, 738?

GCD of 490, 676, 43, 738 is 1

2. Where do I get the detailed procedure to find GCD of 490, 676, 43, 738?

You can find a detailed procedure to find GCD of 490, 676, 43, 738 on our page.

3. How to find GCD of 490, 676, 43, 738 on a calculator?

You can find the GCD of 490, 676, 43, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.