GCD of 358, 475, 409, 709 Calculator

Given Input numbers are 358, 475, 409, 709

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

Divisors of 358

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

1, 2, 179, 358

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 358, 475, 409, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 475, 409, 709 is 1.

Therefore, GCD of numbers 358, 475, 409, 709 is 1

Given Input Data is 358, 475, 409, 709

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 409 is 409

Prime Factorization of 709 is 709

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(358, 475) = 170050

GCD(358, 475) = ( 358 x 475 ) / 170050

GCD(358, 475) = 170050 / 170050

GCD(358, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 358, 475, 409, 709 is 1

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1. What is the GCD of 358, 475, 409, 709?

GCD of 358, 475, 409, 709 is 1

2. Where do I get the detailed procedure to find GCD of 358, 475, 409, 709?

You can find a detailed procedure to find GCD of 358, 475, 409, 709 on our page.

3. How to find GCD of 358, 475, 409, 709 on a calculator?

You can find the GCD of 358, 475, 409, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.