GCD of 924, 662, 270, 654 Calculator

Given Input numbers are 924, 662, 270, 654

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 924, 662, 270, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 662, 270, 654 is 2.

Therefore, GCD of numbers 924, 662, 270, 654 is 2

Given Input Data is 924, 662, 270, 654

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 662 is 2 x 331

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 654 is 2 x 3 x 109

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(924, 662) = 305844

GCD(924, 662) = ( 924 x 662 ) / 305844

GCD(924, 662) = 611688 / 305844

GCD(924, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 924, 662, 270, 654 is 2

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1. What is the GCD of 924, 662, 270, 654?

GCD of 924, 662, 270, 654 is 2

2. Where do I get the detailed procedure to find GCD of 924, 662, 270, 654?

You can find a detailed procedure to find GCD of 924, 662, 270, 654 on our page.

3. How to find GCD of 924, 662, 270, 654 on a calculator?

You can find the GCD of 924, 662, 270, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.