GCD of 390, 740, 490 Calculator

Given Input numbers are 390, 740, 490

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 390, 740, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 740, 490 is 10.

Therefore, GCD of numbers 390, 740, 490 is 10

Given Input Data is 390, 740, 490

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(390, 740) = 28860

GCD(390, 740) = ( 390 x 740 ) / 28860

GCD(390, 740) = 288600 / 28860

GCD(390, 740) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 490

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

LCM(10, 490) = 490

GCD(10, 490) = ( 10 x 490 ) / 490

GCD(10, 490) = 4900 / 490

GCD(10, 490) = 10

GCD of 390, 740, 490 is 10

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 390, 740, 490?

GCD of 390, 740, 490 is 10

2. Where do I get the detailed procedure to find GCD of 390, 740, 490?

You can find a detailed procedure to find GCD of 390, 740, 490 on our page.

3. How to find GCD of 390, 740, 490 on a calculator?

You can find the GCD of 390, 740, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.