GCD of 89, 284, 546, 358 Calculator

Given Input numbers are 89, 284, 546, 358

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 89, 284, 546, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 284, 546, 358 is 1.

Therefore, GCD of numbers 89, 284, 546, 358 is 1

Given Input Data is 89, 284, 546, 358

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

Prime Factorization of 89 is 89

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 358 is 2 x 179

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(89, 284) = 25276

GCD(89, 284) = ( 89 x 284 ) / 25276

GCD(89, 284) = 25276 / 25276

GCD(89, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 89, 284, 546, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 413, 151, 919
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• GCD of 60, 199, 669, 109
• GCD of 37, 726, 401, 975
• GCD of 40, 338, 265, 460

1. What is the GCD of 89, 284, 546, 358?

GCD of 89, 284, 546, 358 is 1

2. Where do I get the detailed procedure to find GCD of 89, 284, 546, 358?

You can find a detailed procedure to find GCD of 89, 284, 546, 358 on our page.

3. How to find GCD of 89, 284, 546, 358 on a calculator?

You can find the GCD of 89, 284, 546, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.