GCD of 809, 864, 35, 253 Calculator

Given Input numbers are 809, 864, 35, 253

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 809, 864, 35, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 864, 35, 253 is 1.

Therefore, GCD of numbers 809, 864, 35, 253 is 1

Given Input Data is 809, 864, 35, 253

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

Prime Factorization of 809 is 809

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 35 is 5 x 7

Prime Factorization of 253 is 11 x 23

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(809, 864) = 698976

GCD(809, 864) = ( 809 x 864 ) / 698976

GCD(809, 864) = 698976 / 698976

GCD(809, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 809, 864, 35, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 251, 32, 151
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• GCD of 707, 803, 14, 680
• GCD of 289, 576, 33, 286
• GCD of 333, 902, 47, 962

1. What is the GCD of 809, 864, 35, 253?

GCD of 809, 864, 35, 253 is 1

2. Where do I get the detailed procedure to find GCD of 809, 864, 35, 253?

You can find a detailed procedure to find GCD of 809, 864, 35, 253 on our page.

3. How to find GCD of 809, 864, 35, 253 on a calculator?

You can find the GCD of 809, 864, 35, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.