GCD of 226, 128, 968, 689 Calculator

Given Input numbers are 226, 128, 968, 689

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 226, 128, 968, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 128, 968, 689 is 1.

Therefore, GCD of numbers 226, 128, 968, 689 is 1

Given Input Data is 226, 128, 968, 689

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 689 is 13 x 53

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(226, 128) = 14464

GCD(226, 128) = ( 226 x 128 ) / 14464

GCD(226, 128) = 28928 / 14464

GCD(226, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 968

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

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

GCD(2, 968) = 1936 / 968

GCD(2, 968) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 226, 128, 968, 689 is 1

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1. What is the GCD of 226, 128, 968, 689?

GCD of 226, 128, 968, 689 is 1

2. Where do I get the detailed procedure to find GCD of 226, 128, 968, 689?

You can find a detailed procedure to find GCD of 226, 128, 968, 689 on our page.

3. How to find GCD of 226, 128, 968, 689 on a calculator?

You can find the GCD of 226, 128, 968, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.