GCD of 464, 912, 53 Calculator

Given Input numbers are 464, 912, 53

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 464, 912, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 912, 53 is 1.

Therefore, GCD of numbers 464, 912, 53 is 1

Given Input Data is 464, 912, 53

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 53 is 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(464, 912) = 26448

GCD(464, 912) = ( 464 x 912 ) / 26448

GCD(464, 912) = 423168 / 26448

GCD(464, 912) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 53

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

LCM(16, 53) = 848

GCD(16, 53) = ( 16 x 53 ) / 848

GCD(16, 53) = 848 / 848

GCD(16, 53) = 1

GCD of 464, 912, 53 is 1

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• GCD of 890, 370, 83
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1. What is the GCD of 464, 912, 53?

GCD of 464, 912, 53 is 1

2. Where do I get the detailed procedure to find GCD of 464, 912, 53?

You can find a detailed procedure to find GCD of 464, 912, 53 on our page.

3. How to find GCD of 464, 912, 53 on a calculator?

You can find the GCD of 464, 912, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.