GCD of 170, 490, 724 Calculator

Given Input numbers are 170, 490, 724

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

Divisors of 170

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

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

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 170, 490, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 490, 724 is 2.

Therefore, GCD of numbers 170, 490, 724 is 2

Given Input Data is 170, 490, 724

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

Prime Factorization of 170 is 2 x 5 x 17

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

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(170, 490) = 8330

GCD(170, 490) = ( 170 x 490 ) / 8330

GCD(170, 490) = 83300 / 8330

GCD(170, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 724

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

LCM(10, 724) = 3620

GCD(10, 724) = ( 10 x 724 ) / 3620

GCD(10, 724) = 7240 / 3620

GCD(10, 724) = 2

GCD of 170, 490, 724 is 2

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• GCD of 411, 162, 757
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1. What is the GCD of 170, 490, 724?

GCD of 170, 490, 724 is 2

2. Where do I get the detailed procedure to find GCD of 170, 490, 724?

You can find a detailed procedure to find GCD of 170, 490, 724 on our page.

3. How to find GCD of 170, 490, 724 on a calculator?

You can find the GCD of 170, 490, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.