GCD of 410, 720, 58, 834 Calculator

Given Input numbers are 410, 720, 58, 834

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 410, 720, 58, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 720, 58, 834 is 2.

Therefore, GCD of numbers 410, 720, 58, 834 is 2

Given Input Data is 410, 720, 58, 834

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 834 is 2 x 3 x 139

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(410, 720) = 29520

GCD(410, 720) = ( 410 x 720 ) / 29520

GCD(410, 720) = 295200 / 29520

GCD(410, 720) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 58

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

LCM(10, 58) = 290

GCD(10, 58) = ( 10 x 58 ) / 290

GCD(10, 58) = 580 / 290

GCD(10, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 834

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

LCM(2, 834) = 834

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

GCD(2, 834) = 1668 / 834

GCD(2, 834) = 2

GCD of 410, 720, 58, 834 is 2

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1. What is the GCD of 410, 720, 58, 834?

GCD of 410, 720, 58, 834 is 2

2. Where do I get the detailed procedure to find GCD of 410, 720, 58, 834?

You can find a detailed procedure to find GCD of 410, 720, 58, 834 on our page.

3. How to find GCD of 410, 720, 58, 834 on a calculator?

You can find the GCD of 410, 720, 58, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.