GCD of 113, 349, 402, 522 Calculator

Given Input numbers are 113, 349, 402, 522

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 113, 349, 402, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 349, 402, 522 is 1.

Therefore, GCD of numbers 113, 349, 402, 522 is 1

Given Input Data is 113, 349, 402, 522

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

Prime Factorization of 113 is 113

Prime Factorization of 349 is 349

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(113, 349) = 39437

GCD(113, 349) = ( 113 x 349 ) / 39437

GCD(113, 349) = 39437 / 39437

GCD(113, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 113, 349, 402, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 809, 666, 267
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• GCD of 222, 474, 194, 599
• GCD of 871, 378, 982, 502

1. What is the GCD of 113, 349, 402, 522?

GCD of 113, 349, 402, 522 is 1

2. Where do I get the detailed procedure to find GCD of 113, 349, 402, 522?

You can find a detailed procedure to find GCD of 113, 349, 402, 522 on our page.

3. How to find GCD of 113, 349, 402, 522 on a calculator?

You can find the GCD of 113, 349, 402, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.