GCD of 410, 707, 490, 867 Calculator

Given Input numbers are 410, 707, 490, 867

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 410, 707, 490, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 707, 490, 867 is 1.

Therefore, GCD of numbers 410, 707, 490, 867 is 1

Given Input Data is 410, 707, 490, 867

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 707 is 7 x 101

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

Prime Factorization of 867 is 3 x 17 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(410, 707) = 289870

GCD(410, 707) = ( 410 x 707 ) / 289870

GCD(410, 707) = 289870 / 289870

GCD(410, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 410, 707, 490, 867 is 1

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1. What is the GCD of 410, 707, 490, 867?

GCD of 410, 707, 490, 867 is 1

2. Where do I get the detailed procedure to find GCD of 410, 707, 490, 867?

You can find a detailed procedure to find GCD of 410, 707, 490, 867 on our page.

3. How to find GCD of 410, 707, 490, 867 on a calculator?

You can find the GCD of 410, 707, 490, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.