GCD of 423, 780, 24, 675 Calculator

Given Input numbers are 423, 780, 24, 675

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 423, 780, 24, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 780, 24, 675 is 3.

Therefore, GCD of numbers 423, 780, 24, 675 is 3

Given Input Data is 423, 780, 24, 675

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(423, 780) = 109980

GCD(423, 780) = ( 423 x 780 ) / 109980

GCD(423, 780) = 329940 / 109980

GCD(423, 780) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 675

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

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

GCD(3, 675) = 2025 / 675

GCD(3, 675) = 3

GCD of 423, 780, 24, 675 is 3

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• GCD of 375, 376, 16, 995
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• GCD of 419, 586, 63, 381

1. What is the GCD of 423, 780, 24, 675?

GCD of 423, 780, 24, 675 is 3

2. Where do I get the detailed procedure to find GCD of 423, 780, 24, 675?

You can find a detailed procedure to find GCD of 423, 780, 24, 675 on our page.

3. How to find GCD of 423, 780, 24, 675 on a calculator?

You can find the GCD of 423, 780, 24, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.