GCD of 490, 765, 45, 573 Calculator

Given Input numbers are 490, 765, 45, 573

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 490, 765, 45, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 765, 45, 573 is 1.

Therefore, GCD of numbers 490, 765, 45, 573 is 1

Given Input Data is 490, 765, 45, 573

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 765 is 3 x 3 x 5 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 573 is 3 x 191

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, 765) = 74970

GCD(490, 765) = ( 490 x 765 ) / 74970

GCD(490, 765) = 374850 / 74970

GCD(490, 765) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 45

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

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

GCD(5, 45) = 225 / 45

GCD(5, 45) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 573

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

LCM(5, 573) = 2865

GCD(5, 573) = ( 5 x 573 ) / 2865

GCD(5, 573) = 2865 / 2865

GCD(5, 573) = 1

GCD of 490, 765, 45, 573 is 1

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1. What is the GCD of 490, 765, 45, 573?

GCD of 490, 765, 45, 573 is 1

2. Where do I get the detailed procedure to find GCD of 490, 765, 45, 573?

You can find a detailed procedure to find GCD of 490, 765, 45, 573 on our page.

3. How to find GCD of 490, 765, 45, 573 on a calculator?

You can find the GCD of 490, 765, 45, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.