GCD of 952, 192, 587, 452 Calculator

Given Input numbers are 952, 192, 587, 452

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 952, 192, 587, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 192, 587, 452 is 1.

Therefore, GCD of numbers 952, 192, 587, 452 is 1

Given Input Data is 952, 192, 587, 452

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 587 is 587

Prime Factorization of 452 is 2 x 2 x 113

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, 192) = 22848

GCD(952, 192) = ( 952 x 192 ) / 22848

GCD(952, 192) = 182784 / 22848

GCD(952, 192) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 587

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

LCM(8, 587) = 4696

GCD(8, 587) = ( 8 x 587 ) / 4696

GCD(8, 587) = 4696 / 4696

GCD(8, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 952, 192, 587, 452 is 1

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1. What is the GCD of 952, 192, 587, 452?

GCD of 952, 192, 587, 452 is 1

2. Where do I get the detailed procedure to find GCD of 952, 192, 587, 452?

You can find a detailed procedure to find GCD of 952, 192, 587, 452 on our page.

3. How to find GCD of 952, 192, 587, 452 on a calculator?

You can find the GCD of 952, 192, 587, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.