GCD of 402, 707, 19, 113 Calculator

Given Input numbers are 402, 707, 19, 113

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

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 113

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

1, 113

Greatest Common Divisior

We found the divisors of 402, 707, 19, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 707, 19, 113 is 1.

Therefore, GCD of numbers 402, 707, 19, 113 is 1

Given Input Data is 402, 707, 19, 113

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 707 is 7 x 101

Prime Factorization of 19 is 19

Prime Factorization of 113 is 113

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(402, 707) = 284214

GCD(402, 707) = ( 402 x 707 ) / 284214

GCD(402, 707) = 284214 / 284214

GCD(402, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 402, 707, 19, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 774, 84, 206
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• GCD of 412, 333, 62, 583
• GCD of 580, 542, 13, 431
• GCD of 285, 953, 15, 202

1. What is the GCD of 402, 707, 19, 113?

GCD of 402, 707, 19, 113 is 1

2. Where do I get the detailed procedure to find GCD of 402, 707, 19, 113?

You can find a detailed procedure to find GCD of 402, 707, 19, 113 on our page.

3. How to find GCD of 402, 707, 19, 113 on a calculator?

You can find the GCD of 402, 707, 19, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.