GCD of 748, 131, 30, 216 Calculator

Given Input numbers are 748, 131, 30, 216

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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

Greatest Common Divisior

We found the divisors of 748, 131, 30, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 131, 30, 216 is 1.

Therefore, GCD of numbers 748, 131, 30, 216 is 1

Given Input Data is 748, 131, 30, 216

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 131 is 131

Prime Factorization of 30 is 2 x 3 x 5

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

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(748, 131) = 97988

GCD(748, 131) = ( 748 x 131 ) / 97988

GCD(748, 131) = 97988 / 97988

GCD(748, 131) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 748, 131, 30, 216 is 1

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• GCD of 335, 337, 83, 855
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• GCD of 133, 851, 34, 551

1. What is the GCD of 748, 131, 30, 216?

GCD of 748, 131, 30, 216 is 1

2. Where do I get the detailed procedure to find GCD of 748, 131, 30, 216?

You can find a detailed procedure to find GCD of 748, 131, 30, 216 on our page.

3. How to find GCD of 748, 131, 30, 216 on a calculator?

You can find the GCD of 748, 131, 30, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.