GCD of 736, 304, 490 Calculator

Given Input numbers are 736, 304, 490

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 736, 304, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 304, 490 is 2.

Therefore, GCD of numbers 736, 304, 490 is 2

Given Input Data is 736, 304, 490

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(736, 304) = 13984

GCD(736, 304) = ( 736 x 304 ) / 13984

GCD(736, 304) = 223744 / 13984

GCD(736, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 490

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

LCM(16, 490) = 3920

GCD(16, 490) = ( 16 x 490 ) / 3920

GCD(16, 490) = 7840 / 3920

GCD(16, 490) = 2

GCD of 736, 304, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 430, 812
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• GCD of 910, 804, 345
• GCD of 620, 215, 290

1. What is the GCD of 736, 304, 490?

GCD of 736, 304, 490 is 2

2. Where do I get the detailed procedure to find GCD of 736, 304, 490?

You can find a detailed procedure to find GCD of 736, 304, 490 on our page.

3. How to find GCD of 736, 304, 490 on a calculator?

You can find the GCD of 736, 304, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.