GCD of 689, 864, 57, 448 Calculator

Given Input numbers are 689, 864, 57, 448

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 689, 864, 57, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 864, 57, 448 is 1.

Therefore, GCD of numbers 689, 864, 57, 448 is 1

Given Input Data is 689, 864, 57, 448

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

Prime Factorization of 689 is 13 x 53

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 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(689, 864) = 595296

GCD(689, 864) = ( 689 x 864 ) / 595296

GCD(689, 864) = 595296 / 595296

GCD(689, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 689, 864, 57, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 160, 57, 143
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• GCD of 369, 421, 11, 189
• GCD of 445, 760, 30, 255
• GCD of 384, 161, 66, 253

1. What is the GCD of 689, 864, 57, 448?

GCD of 689, 864, 57, 448 is 1

2. Where do I get the detailed procedure to find GCD of 689, 864, 57, 448?

You can find a detailed procedure to find GCD of 689, 864, 57, 448 on our page.

3. How to find GCD of 689, 864, 57, 448 on a calculator?

You can find the GCD of 689, 864, 57, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.