GCD of 487, 221, 96, 114 Calculator

Given Input numbers are 487, 221, 96, 114

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 487, 221, 96, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 221, 96, 114 is 1.

Therefore, GCD of numbers 487, 221, 96, 114 is 1

Given Input Data is 487, 221, 96, 114

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

Prime Factorization of 487 is 487

Prime Factorization of 221 is 13 x 17

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

Prime Factorization of 114 is 2 x 3 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(487, 221) = 107627

GCD(487, 221) = ( 487 x 221 ) / 107627

GCD(487, 221) = 107627 / 107627

GCD(487, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 487, 221, 96, 114 is 1

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• GCD of 840, 606, 68, 290
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• GCD of 130, 456, 49, 335

1. What is the GCD of 487, 221, 96, 114?

GCD of 487, 221, 96, 114 is 1

2. Where do I get the detailed procedure to find GCD of 487, 221, 96, 114?

You can find a detailed procedure to find GCD of 487, 221, 96, 114 on our page.

3. How to find GCD of 487, 221, 96, 114 on a calculator?

You can find the GCD of 487, 221, 96, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.