GCD of 41, 697, 474, 335 Calculator

Given Input numbers are 41, 697, 474, 335

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 41, 697, 474, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 697, 474, 335 is 1.

Therefore, GCD of numbers 41, 697, 474, 335 is 1

Given Input Data is 41, 697, 474, 335

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

Prime Factorization of 41 is 41

Prime Factorization of 697 is 17 x 41

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 335 is 5 x 67

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(41, 697) = 697

GCD(41, 697) = ( 41 x 697 ) / 697

GCD(41, 697) = 28577 / 697

GCD(41, 697) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 474

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

LCM(41, 474) = 19434

GCD(41, 474) = ( 41 x 474 ) / 19434

GCD(41, 474) = 19434 / 19434

GCD(41, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 41, 697, 474, 335 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 309, 287, 627
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• GCD of 41, 688, 801, 671
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• GCD of 49, 149, 390, 378

1. What is the GCD of 41, 697, 474, 335?

GCD of 41, 697, 474, 335 is 1

2. Where do I get the detailed procedure to find GCD of 41, 697, 474, 335?

You can find a detailed procedure to find GCD of 41, 697, 474, 335 on our page.

3. How to find GCD of 41, 697, 474, 335 on a calculator?

You can find the GCD of 41, 697, 474, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.