GCD of 954, 348, 52, 457 Calculator

Given Input numbers are 954, 348, 52, 457

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

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 954, 348, 52, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 348, 52, 457 is 1.

Therefore, GCD of numbers 954, 348, 52, 457 is 1

Given Input Data is 954, 348, 52, 457

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 457 is 457

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(954, 348) = 55332

GCD(954, 348) = ( 954 x 348 ) / 55332

GCD(954, 348) = 331992 / 55332

GCD(954, 348) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 52

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

LCM(6, 52) = 156

GCD(6, 52) = ( 6 x 52 ) / 156

GCD(6, 52) = 312 / 156

GCD(6, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 457

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

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

GCD(2, 457) = 914 / 914

GCD(2, 457) = 1

GCD of 954, 348, 52, 457 is 1

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• GCD of 330, 946, 58, 363
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1. What is the GCD of 954, 348, 52, 457?

GCD of 954, 348, 52, 457 is 1

2. Where do I get the detailed procedure to find GCD of 954, 348, 52, 457?

You can find a detailed procedure to find GCD of 954, 348, 52, 457 on our page.

3. How to find GCD of 954, 348, 52, 457 on a calculator?

You can find the GCD of 954, 348, 52, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.