GCD of 495, 910, 24, 954 Calculator

Given Input numbers are 495, 910, 24, 954

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 495, 910, 24, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 910, 24, 954 is 1.

Therefore, GCD of numbers 495, 910, 24, 954 is 1

Given Input Data is 495, 910, 24, 954

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 910 is 2 x 5 x 7 x 13

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(495, 910) = 90090

GCD(495, 910) = ( 495 x 910 ) / 90090

GCD(495, 910) = 450450 / 90090

GCD(495, 910) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 24

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

LCM(5, 24) = 120

GCD(5, 24) = ( 5 x 24 ) / 120

GCD(5, 24) = 120 / 120

GCD(5, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 495, 910, 24, 954 is 1

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1. What is the GCD of 495, 910, 24, 954?

GCD of 495, 910, 24, 954 is 1

2. Where do I get the detailed procedure to find GCD of 495, 910, 24, 954?

You can find a detailed procedure to find GCD of 495, 910, 24, 954 on our page.

3. How to find GCD of 495, 910, 24, 954 on a calculator?

You can find the GCD of 495, 910, 24, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.