GCD of 703, 278, 458, 864 Calculator

Given Input numbers are 703, 278, 458, 864

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

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 703, 278, 458, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 278, 458, 864 is 1.

Therefore, GCD of numbers 703, 278, 458, 864 is 1

Given Input Data is 703, 278, 458, 864

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 278 is 2 x 139

Prime Factorization of 458 is 2 x 229

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(703, 278) = 195434

GCD(703, 278) = ( 703 x 278 ) / 195434

GCD(703, 278) = 195434 / 195434

GCD(703, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 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 703, 278, 458, 864 is 1

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1. What is the GCD of 703, 278, 458, 864?

GCD of 703, 278, 458, 864 is 1

2. Where do I get the detailed procedure to find GCD of 703, 278, 458, 864?

You can find a detailed procedure to find GCD of 703, 278, 458, 864 on our page.

3. How to find GCD of 703, 278, 458, 864 on a calculator?

You can find the GCD of 703, 278, 458, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.