GCD of 703, 864, 147 Calculator

Given Input numbers are 703, 864, 147

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 703, 864, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 864, 147 is 1.

Therefore, GCD of numbers 703, 864, 147 is 1

Given Input Data is 703, 864, 147

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

Prime Factorization of 703 is 19 x 37

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

Prime Factorization of 147 is 3 x 7 x 7

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(703, 864) = 607392

GCD(703, 864) = ( 703 x 864 ) / 607392

GCD(703, 864) = 607392 / 607392

GCD(703, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 703, 864, 147 is 1

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1. What is the GCD of 703, 864, 147?

GCD of 703, 864, 147 is 1

2. Where do I get the detailed procedure to find GCD of 703, 864, 147?

You can find a detailed procedure to find GCD of 703, 864, 147 on our page.

3. How to find GCD of 703, 864, 147 on a calculator?

You can find the GCD of 703, 864, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.