GCD of 284, 952, 872, 703 Calculator

Given Input numbers are 284, 952, 872, 703

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 284, 952, 872, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 952, 872, 703 is 1.

Therefore, GCD of numbers 284, 952, 872, 703 is 1

Given Input Data is 284, 952, 872, 703

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 703 is 19 x 37

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(284, 952) = 67592

GCD(284, 952) = ( 284 x 952 ) / 67592

GCD(284, 952) = 270368 / 67592

GCD(284, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 872

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

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

GCD(4, 872) = 3488 / 872

GCD(4, 872) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 703

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

LCM(4, 703) = 2812

GCD(4, 703) = ( 4 x 703 ) / 2812

GCD(4, 703) = 2812 / 2812

GCD(4, 703) = 1

GCD of 284, 952, 872, 703 is 1

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1. What is the GCD of 284, 952, 872, 703?

GCD of 284, 952, 872, 703 is 1

2. Where do I get the detailed procedure to find GCD of 284, 952, 872, 703?

You can find a detailed procedure to find GCD of 284, 952, 872, 703 on our page.

3. How to find GCD of 284, 952, 872, 703 on a calculator?

You can find the GCD of 284, 952, 872, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.