GCD of 490, 434, 850, 417 Calculator

Given Input numbers are 490, 434, 850, 417

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 490, 434, 850, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 434, 850, 417 is 1.

Therefore, GCD of numbers 490, 434, 850, 417 is 1

Given Input Data is 490, 434, 850, 417

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 434 is 2 x 7 x 31

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 417 is 3 x 139

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, 434) = 15190

GCD(490, 434) = ( 490 x 434 ) / 15190

GCD(490, 434) = 212660 / 15190

GCD(490, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 850

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

LCM(14, 850) = 5950

GCD(14, 850) = ( 14 x 850 ) / 5950

GCD(14, 850) = 11900 / 5950

GCD(14, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

GCD of 490, 434, 850, 417 is 1

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1. What is the GCD of 490, 434, 850, 417?

GCD of 490, 434, 850, 417 is 1

2. Where do I get the detailed procedure to find GCD of 490, 434, 850, 417?

You can find a detailed procedure to find GCD of 490, 434, 850, 417 on our page.

3. How to find GCD of 490, 434, 850, 417 on a calculator?

You can find the GCD of 490, 434, 850, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.