GCD of 648, 788, 358, 283 Calculator

Given Input numbers are 648, 788, 358, 283

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 648, 788, 358, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 788, 358, 283 is 1.

Therefore, GCD of numbers 648, 788, 358, 283 is 1

Given Input Data is 648, 788, 358, 283

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 358 is 2 x 179

Prime Factorization of 283 is 283

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(648, 788) = 127656

GCD(648, 788) = ( 648 x 788 ) / 127656

GCD(648, 788) = 510624 / 127656

GCD(648, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 358

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

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

GCD(4, 358) = 1432 / 716

GCD(4, 358) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 283

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

LCM(2, 283) = 566

GCD(2, 283) = ( 2 x 283 ) / 566

GCD(2, 283) = 566 / 566

GCD(2, 283) = 1

GCD of 648, 788, 358, 283 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 861, 231, 490
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• GCD of 650, 312, 574, 358
• GCD of 521, 636, 487, 686
• GCD of 745, 922, 720, 135

1. What is the GCD of 648, 788, 358, 283?

GCD of 648, 788, 358, 283 is 1

2. Where do I get the detailed procedure to find GCD of 648, 788, 358, 283?

You can find a detailed procedure to find GCD of 648, 788, 358, 283 on our page.

3. How to find GCD of 648, 788, 358, 283 on a calculator?

You can find the GCD of 648, 788, 358, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.