GCD of 804, 526, 31, 257 Calculator

Given Input numbers are 804, 526, 31, 257

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 804, 526, 31, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 526, 31, 257 is 1.

Therefore, GCD of numbers 804, 526, 31, 257 is 1

Given Input Data is 804, 526, 31, 257

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 526 is 2 x 263

Prime Factorization of 31 is 31

Prime Factorization of 257 is 257

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(804, 526) = 211452

GCD(804, 526) = ( 804 x 526 ) / 211452

GCD(804, 526) = 422904 / 211452

GCD(804, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 804, 526, 31, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 925, 73, 524
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• GCD of 375, 661, 46, 251
• GCD of 932, 108, 74, 537
• GCD of 163, 368, 29, 614

1. What is the GCD of 804, 526, 31, 257?

GCD of 804, 526, 31, 257 is 1

2. Where do I get the detailed procedure to find GCD of 804, 526, 31, 257?

You can find a detailed procedure to find GCD of 804, 526, 31, 257 on our page.

3. How to find GCD of 804, 526, 31, 257 on a calculator?

You can find the GCD of 804, 526, 31, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.