GCD of 69, 413, 471, 358 Calculator

Given Input numbers are 69, 413, 471, 358

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 358

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

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 69, 413, 471, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 413, 471, 358 is 1.

Therefore, GCD of numbers 69, 413, 471, 358 is 1

Given Input Data is 69, 413, 471, 358

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 413 is 7 x 59

Prime Factorization of 471 is 3 x 157

Prime Factorization of 358 is 2 x 179

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(69, 413) = 28497

GCD(69, 413) = ( 69 x 413 ) / 28497

GCD(69, 413) = 28497 / 28497

GCD(69, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 69, 413, 471, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 274, 130, 266
• GCD of 42, 641, 202, 582
• GCD of 62, 770, 894, 310
• GCD of 40, 541, 529, 523
• GCD of 15, 443, 589, 735

1. What is the GCD of 69, 413, 471, 358?

GCD of 69, 413, 471, 358 is 1

2. Where do I get the detailed procedure to find GCD of 69, 413, 471, 358?

You can find a detailed procedure to find GCD of 69, 413, 471, 358 on our page.

3. How to find GCD of 69, 413, 471, 358 on a calculator?

You can find the GCD of 69, 413, 471, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.