GCD of 814, 525, 59, 335 Calculator

Given Input numbers are 814, 525, 59, 335

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 814, 525, 59, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 525, 59, 335 is 1.

Therefore, GCD of numbers 814, 525, 59, 335 is 1

Given Input Data is 814, 525, 59, 335

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 59 is 59

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(814, 525) = 427350

GCD(814, 525) = ( 814 x 525 ) / 427350

GCD(814, 525) = 427350 / 427350

GCD(814, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 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 814, 525, 59, 335 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 738, 49, 265
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• GCD of 874, 281, 38, 923

1. What is the GCD of 814, 525, 59, 335?

GCD of 814, 525, 59, 335 is 1

2. Where do I get the detailed procedure to find GCD of 814, 525, 59, 335?

You can find a detailed procedure to find GCD of 814, 525, 59, 335 on our page.

3. How to find GCD of 814, 525, 59, 335 on a calculator?

You can find the GCD of 814, 525, 59, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.