GCD of 410, 690, 299, 159 Calculator

Given Input numbers are 410, 690, 299, 159

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 410, 690, 299, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 690, 299, 159 is 1.

Therefore, GCD of numbers 410, 690, 299, 159 is 1

Given Input Data is 410, 690, 299, 159

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 690 is 2 x 3 x 5 x 23

Prime Factorization of 299 is 13 x 23

Prime Factorization of 159 is 3 x 53

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, 690) = 28290

GCD(410, 690) = ( 410 x 690 ) / 28290

GCD(410, 690) = 282900 / 28290

GCD(410, 690) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 299

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

LCM(10, 299) = 2990

GCD(10, 299) = ( 10 x 299 ) / 2990

GCD(10, 299) = 2990 / 2990

GCD(10, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 410, 690, 299, 159 is 1

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1. What is the GCD of 410, 690, 299, 159?

GCD of 410, 690, 299, 159 is 1

2. Where do I get the detailed procedure to find GCD of 410, 690, 299, 159?

You can find a detailed procedure to find GCD of 410, 690, 299, 159 on our page.

3. How to find GCD of 410, 690, 299, 159 on a calculator?

You can find the GCD of 410, 690, 299, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.