GCD of 285, 972, 96, 152 Calculator

Given Input numbers are 285, 972, 96, 152

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 285, 972, 96, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 972, 96, 152 is 1.

Therefore, GCD of numbers 285, 972, 96, 152 is 1

Given Input Data is 285, 972, 96, 152

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(285, 972) = 92340

GCD(285, 972) = ( 285 x 972 ) / 92340

GCD(285, 972) = 277020 / 92340

GCD(285, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 152

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

LCM(3, 152) = 456

GCD(3, 152) = ( 3 x 152 ) / 456

GCD(3, 152) = 456 / 456

GCD(3, 152) = 1

GCD of 285, 972, 96, 152 is 1

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1. What is the GCD of 285, 972, 96, 152?

GCD of 285, 972, 96, 152 is 1

2. Where do I get the detailed procedure to find GCD of 285, 972, 96, 152?

You can find a detailed procedure to find GCD of 285, 972, 96, 152 on our page.

3. How to find GCD of 285, 972, 96, 152 on a calculator?

You can find the GCD of 285, 972, 96, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.