GCD of 284, 116, 25, 362 Calculator

Given Input numbers are 284, 116, 25, 362

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 284, 116, 25, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 116, 25, 362 is 1.

Therefore, GCD of numbers 284, 116, 25, 362 is 1

Given Input Data is 284, 116, 25, 362

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 116 is 2 x 2 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 362 is 2 x 181

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, 116) = 8236

GCD(284, 116) = ( 284 x 116 ) / 8236

GCD(284, 116) = 32944 / 8236

GCD(284, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 25

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

LCM(4, 25) = 100

GCD(4, 25) = ( 4 x 25 ) / 100

GCD(4, 25) = 100 / 100

GCD(4, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 284, 116, 25, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 806, 12, 174
• GCD of 981, 255, 79, 893
• GCD of 220, 455, 96, 390
• GCD of 682, 620, 86, 423
• GCD of 246, 145, 64, 243

1. What is the GCD of 284, 116, 25, 362?

GCD of 284, 116, 25, 362 is 1

2. Where do I get the detailed procedure to find GCD of 284, 116, 25, 362?

You can find a detailed procedure to find GCD of 284, 116, 25, 362 on our page.

3. How to find GCD of 284, 116, 25, 362 on a calculator?

You can find the GCD of 284, 116, 25, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.