GCD of 490, 502, 713, 963 Calculator

Given Input numbers are 490, 502, 713, 963

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 490, 502, 713, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 502, 713, 963 is 1.

Therefore, GCD of numbers 490, 502, 713, 963 is 1

Given Input Data is 490, 502, 713, 963

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 502 is 2 x 251

Prime Factorization of 713 is 23 x 31

Prime Factorization of 963 is 3 x 3 x 107

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, 502) = 122990

GCD(490, 502) = ( 490 x 502 ) / 122990

GCD(490, 502) = 245980 / 122990

GCD(490, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 490, 502, 713, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 611, 265, 302
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• GCD of 869, 423, 300, 641
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• GCD of 917, 204, 942, 708

1. What is the GCD of 490, 502, 713, 963?

GCD of 490, 502, 713, 963 is 1

2. Where do I get the detailed procedure to find GCD of 490, 502, 713, 963?

You can find a detailed procedure to find GCD of 490, 502, 713, 963 on our page.

3. How to find GCD of 490, 502, 713, 963 on a calculator?

You can find the GCD of 490, 502, 713, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.