GCD of 232, 826, 713, 402 Calculator

Given Input numbers are 232, 826, 713, 402

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 232, 826, 713, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 826, 713, 402 is 1.

Therefore, GCD of numbers 232, 826, 713, 402 is 1

Given Input Data is 232, 826, 713, 402

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 713 is 23 x 31

Prime Factorization of 402 is 2 x 3 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(232, 826) = 95816

GCD(232, 826) = ( 232 x 826 ) / 95816

GCD(232, 826) = 191632 / 95816

GCD(232, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

Step3:

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

GCD of 232, 826, 713, 402 is 1

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1. What is the GCD of 232, 826, 713, 402?

GCD of 232, 826, 713, 402 is 1

2. Where do I get the detailed procedure to find GCD of 232, 826, 713, 402?

You can find a detailed procedure to find GCD of 232, 826, 713, 402 on our page.

3. How to find GCD of 232, 826, 713, 402 on a calculator?

You can find the GCD of 232, 826, 713, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.