GCD of 251, 288, 30, 152 Calculator

Given Input numbers are 251, 288, 30, 152

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 251, 288, 30, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 288, 30, 152 is 1.

Therefore, GCD of numbers 251, 288, 30, 152 is 1

Given Input Data is 251, 288, 30, 152

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

Prime Factorization of 251 is 251

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(251, 288) = 72288

GCD(251, 288) = ( 251 x 288 ) / 72288

GCD(251, 288) = 72288 / 72288

GCD(251, 288) = 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 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 251, 288, 30, 152 is 1

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• GCD of 862, 950, 92, 567
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1. What is the GCD of 251, 288, 30, 152?

GCD of 251, 288, 30, 152 is 1

2. Where do I get the detailed procedure to find GCD of 251, 288, 30, 152?

You can find a detailed procedure to find GCD of 251, 288, 30, 152 on our page.

3. How to find GCD of 251, 288, 30, 152 on a calculator?

You can find the GCD of 251, 288, 30, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.