GCD of 35, 297, 538, 474 Calculator

Given Input numbers are 35, 297, 538, 474

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 474

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

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

Greatest Common Divisior

We found the divisors of 35, 297, 538, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 297, 538, 474 is 1.

Therefore, GCD of numbers 35, 297, 538, 474 is 1

Given Input Data is 35, 297, 538, 474

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 538 is 2 x 269

Prime Factorization of 474 is 2 x 3 x 79

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(35, 297) = 10395

GCD(35, 297) = ( 35 x 297 ) / 10395

GCD(35, 297) = 10395 / 10395

GCD(35, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 35, 297, 538, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 606, 910, 400
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• GCD of 86, 972, 926, 553
• GCD of 37, 993, 371, 737

1. What is the GCD of 35, 297, 538, 474?

GCD of 35, 297, 538, 474 is 1

2. Where do I get the detailed procedure to find GCD of 35, 297, 538, 474?

You can find a detailed procedure to find GCD of 35, 297, 538, 474 on our page.

3. How to find GCD of 35, 297, 538, 474 on a calculator?

You can find the GCD of 35, 297, 538, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.