GCD of 96, 113, 275, 222 Calculator

Given Input numbers are 96, 113, 275, 222

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

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 96, 113, 275, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 113, 275, 222 is 1.

Therefore, GCD of numbers 96, 113, 275, 222 is 1

Given Input Data is 96, 113, 275, 222

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

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

Prime Factorization of 113 is 113

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 222 is 2 x 3 x 37

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(96, 113) = 10848

GCD(96, 113) = ( 96 x 113 ) / 10848

GCD(96, 113) = 10848 / 10848

GCD(96, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 96, 113, 275, 222 is 1

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• GCD of 67, 182, 359, 710
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• GCD of 94, 679, 624, 569

1. What is the GCD of 96, 113, 275, 222?

GCD of 96, 113, 275, 222 is 1

2. Where do I get the detailed procedure to find GCD of 96, 113, 275, 222?

You can find a detailed procedure to find GCD of 96, 113, 275, 222 on our page.

3. How to find GCD of 96, 113, 275, 222 on a calculator?

You can find the GCD of 96, 113, 275, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.