GCD of 410, 358, 659, 138 Calculator

Given Input numbers are 410, 358, 659, 138

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 410, 358, 659, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 358, 659, 138 is 1.

Therefore, GCD of numbers 410, 358, 659, 138 is 1

Given Input Data is 410, 358, 659, 138

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 358 is 2 x 179

Prime Factorization of 659 is 659

Prime Factorization of 138 is 2 x 3 x 23

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, 358) = 73390

GCD(410, 358) = ( 410 x 358 ) / 73390

GCD(410, 358) = 146780 / 73390

GCD(410, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 659

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

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

GCD(2, 659) = 1318 / 1318

GCD(2, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 410, 358, 659, 138 is 1

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1. What is the GCD of 410, 358, 659, 138?

GCD of 410, 358, 659, 138 is 1

2. Where do I get the detailed procedure to find GCD of 410, 358, 659, 138?

You can find a detailed procedure to find GCD of 410, 358, 659, 138 on our page.

3. How to find GCD of 410, 358, 659, 138 on a calculator?

You can find the GCD of 410, 358, 659, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.