GCD of 490, 778, 40, 233 Calculator

Given Input numbers are 490, 778, 40, 233

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 490, 778, 40, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 778, 40, 233 is 1.

Therefore, GCD of numbers 490, 778, 40, 233 is 1

Given Input Data is 490, 778, 40, 233

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 778 is 2 x 389

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 233 is 233

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, 778) = 190610

GCD(490, 778) = ( 490 x 778 ) / 190610

GCD(490, 778) = 381220 / 190610

GCD(490, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 233

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

LCM(2, 233) = 466

GCD(2, 233) = ( 2 x 233 ) / 466

GCD(2, 233) = 466 / 466

GCD(2, 233) = 1

GCD of 490, 778, 40, 233 is 1

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1. What is the GCD of 490, 778, 40, 233?

GCD of 490, 778, 40, 233 is 1

2. Where do I get the detailed procedure to find GCD of 490, 778, 40, 233?

You can find a detailed procedure to find GCD of 490, 778, 40, 233 on our page.

3. How to find GCD of 490, 778, 40, 233 on a calculator?

You can find the GCD of 490, 778, 40, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.