GCD of 114, 253, 487, 968 Calculator

Given Input numbers are 114, 253, 487, 968

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

Divisors of 114

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

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 487

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

1, 487

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 114, 253, 487, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 253, 487, 968 is 1.

Therefore, GCD of numbers 114, 253, 487, 968 is 1

Given Input Data is 114, 253, 487, 968

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 253 is 11 x 23

Prime Factorization of 487 is 487

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(114, 253) = 28842

GCD(114, 253) = ( 114 x 253 ) / 28842

GCD(114, 253) = 28842 / 28842

GCD(114, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 114, 253, 487, 968 is 1

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1. What is the GCD of 114, 253, 487, 968?

GCD of 114, 253, 487, 968 is 1

2. Where do I get the detailed procedure to find GCD of 114, 253, 487, 968?

You can find a detailed procedure to find GCD of 114, 253, 487, 968 on our page.

3. How to find GCD of 114, 253, 487, 968 on a calculator?

You can find the GCD of 114, 253, 487, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.