GCD of 648, 992, 90, 294 Calculator

Given Input numbers are 648, 992, 90, 294

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 648, 992, 90, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 992, 90, 294 is 2.

Therefore, GCD of numbers 648, 992, 90, 294 is 2

Given Input Data is 648, 992, 90, 294

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 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 992) = 80352

GCD(648, 992) = ( 648 x 992 ) / 80352

GCD(648, 992) = 642816 / 80352

GCD(648, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 648, 992, 90, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 772, 14, 557
• GCD of 218, 286, 19, 890
• GCD of 503, 311, 26, 722
• GCD of 341, 647, 60, 339
• GCD of 331, 313, 47, 749

1. What is the GCD of 648, 992, 90, 294?

GCD of 648, 992, 90, 294 is 2

2. Where do I get the detailed procedure to find GCD of 648, 992, 90, 294?

You can find a detailed procedure to find GCD of 648, 992, 90, 294 on our page.

3. How to find GCD of 648, 992, 90, 294 on a calculator?

You can find the GCD of 648, 992, 90, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.