GCD of 825, 257, 87, 821 Calculator

Given Input numbers are 825, 257, 87, 821

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 257

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

1, 257

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 825, 257, 87, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 257, 87, 821 is 1.

Therefore, GCD of numbers 825, 257, 87, 821 is 1

Given Input Data is 825, 257, 87, 821

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 257 is 257

Prime Factorization of 87 is 3 x 29

Prime Factorization of 821 is 821

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(825, 257) = 212025

GCD(825, 257) = ( 825 x 257 ) / 212025

GCD(825, 257) = 212025 / 212025

GCD(825, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 825, 257, 87, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 812, 49, 711
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• GCD of 155, 299, 32, 261
• GCD of 360, 800, 47, 367
• GCD of 846, 342, 85, 842

1. What is the GCD of 825, 257, 87, 821?

GCD of 825, 257, 87, 821 is 1

2. Where do I get the detailed procedure to find GCD of 825, 257, 87, 821?

You can find a detailed procedure to find GCD of 825, 257, 87, 821 on our page.

3. How to find GCD of 825, 257, 87, 821 on a calculator?

You can find the GCD of 825, 257, 87, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.