GCD of 767, 282, 206, 864 Calculator

Given Input numbers are 767, 282, 206, 864

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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

Greatest Common Divisior

We found the divisors of 767, 282, 206, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 282, 206, 864 is 1.

Therefore, GCD of numbers 767, 282, 206, 864 is 1

Given Input Data is 767, 282, 206, 864

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 206 is 2 x 103

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

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(767, 282) = 216294

GCD(767, 282) = ( 767 x 282 ) / 216294

GCD(767, 282) = 216294 / 216294

GCD(767, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 767, 282, 206, 864 is 1

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1. What is the GCD of 767, 282, 206, 864?

GCD of 767, 282, 206, 864 is 1

2. Where do I get the detailed procedure to find GCD of 767, 282, 206, 864?

You can find a detailed procedure to find GCD of 767, 282, 206, 864 on our page.

3. How to find GCD of 767, 282, 206, 864 on a calculator?

You can find the GCD of 767, 282, 206, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.