GCD of 490, 650, 57, 170 Calculator

Given Input numbers are 490, 650, 57, 170

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 490, 650, 57, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 650, 57, 170 is 1.

Therefore, GCD of numbers 490, 650, 57, 170 is 1

Given Input Data is 490, 650, 57, 170

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 57 is 3 x 19

Prime Factorization of 170 is 2 x 5 x 17

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, 650) = 31850

GCD(490, 650) = ( 490 x 650 ) / 31850

GCD(490, 650) = 318500 / 31850

GCD(490, 650) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 57

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

LCM(10, 57) = 570

GCD(10, 57) = ( 10 x 57 ) / 570

GCD(10, 57) = 570 / 570

GCD(10, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 490, 650, 57, 170 is 1

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1. What is the GCD of 490, 650, 57, 170?

GCD of 490, 650, 57, 170 is 1

2. Where do I get the detailed procedure to find GCD of 490, 650, 57, 170?

You can find a detailed procedure to find GCD of 490, 650, 57, 170 on our page.

3. How to find GCD of 490, 650, 57, 170 on a calculator?

You can find the GCD of 490, 650, 57, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.