GCD of 952, 466, 537, 442 Calculator

Given Input numbers are 952, 466, 537, 442

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 952, 466, 537, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 466, 537, 442 is 1.

Therefore, GCD of numbers 952, 466, 537, 442 is 1

Given Input Data is 952, 466, 537, 442

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 466 is 2 x 233

Prime Factorization of 537 is 3 x 179

Prime Factorization of 442 is 2 x 13 x 17

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(952, 466) = 221816

GCD(952, 466) = ( 952 x 466 ) / 221816

GCD(952, 466) = 443632 / 221816

GCD(952, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 952, 466, 537, 442 is 1

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1. What is the GCD of 952, 466, 537, 442?

GCD of 952, 466, 537, 442 is 1

2. Where do I get the detailed procedure to find GCD of 952, 466, 537, 442?

You can find a detailed procedure to find GCD of 952, 466, 537, 442 on our page.

3. How to find GCD of 952, 466, 537, 442 on a calculator?

You can find the GCD of 952, 466, 537, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.