GCD of 284, 375, 969, 218 Calculator

Given Input numbers are 284, 375, 969, 218

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 284, 375, 969, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 375, 969, 218 is 1.

Therefore, GCD of numbers 284, 375, 969, 218 is 1

Given Input Data is 284, 375, 969, 218

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 218 is 2 x 109

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, 375) = 106500

GCD(284, 375) = ( 284 x 375 ) / 106500

GCD(284, 375) = 106500 / 106500

GCD(284, 375) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 284, 375, 969, 218 is 1

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1. What is the GCD of 284, 375, 969, 218?

GCD of 284, 375, 969, 218 is 1

2. Where do I get the detailed procedure to find GCD of 284, 375, 969, 218?

You can find a detailed procedure to find GCD of 284, 375, 969, 218 on our page.

3. How to find GCD of 284, 375, 969, 218 on a calculator?

You can find the GCD of 284, 375, 969, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.