GCD of 468, 974, 924 Calculator

Given Input numbers are 468, 974, 924

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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

Greatest Common Divisior

We found the divisors of 468, 974, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 974, 924 is 2.

Therefore, GCD of numbers 468, 974, 924 is 2

Given Input Data is 468, 974, 924

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 974 is 2 x 487

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

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(468, 974) = 227916

GCD(468, 974) = ( 468 x 974 ) / 227916

GCD(468, 974) = 455832 / 227916

GCD(468, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 468, 974, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 394, 478
• GCD of 147, 949, 730
• GCD of 554, 197, 739
• GCD of 673, 827, 585
• GCD of 690, 755, 645

1. What is the GCD of 468, 974, 924?

GCD of 468, 974, 924 is 2

2. Where do I get the detailed procedure to find GCD of 468, 974, 924?

You can find a detailed procedure to find GCD of 468, 974, 924 on our page.

3. How to find GCD of 468, 974, 924 on a calculator?

You can find the GCD of 468, 974, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.