GCD of 548, 216, 359, 516 Calculator

Given Input numbers are 548, 216, 359, 516

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 548, 216, 359, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 216, 359, 516 is 1.

Therefore, GCD of numbers 548, 216, 359, 516 is 1

Given Input Data is 548, 216, 359, 516

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 359 is 359

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(548, 216) = 29592

GCD(548, 216) = ( 548 x 216 ) / 29592

GCD(548, 216) = 118368 / 29592

GCD(548, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 359

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

LCM(4, 359) = 1436

GCD(4, 359) = ( 4 x 359 ) / 1436

GCD(4, 359) = 1436 / 1436

GCD(4, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 548, 216, 359, 516 is 1

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• GCD of 120, 262, 380, 382
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• GCD of 154, 759, 836, 263

1. What is the GCD of 548, 216, 359, 516?

GCD of 548, 216, 359, 516 is 1

2. Where do I get the detailed procedure to find GCD of 548, 216, 359, 516?

You can find a detailed procedure to find GCD of 548, 216, 359, 516 on our page.

3. How to find GCD of 548, 216, 359, 516 on a calculator?

You can find the GCD of 548, 216, 359, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.