GCD of 428, 968, 57, 688 Calculator

Given Input numbers are 428, 968, 57, 688

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 428, 968, 57, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 968, 57, 688 is 1.

Therefore, GCD of numbers 428, 968, 57, 688 is 1

Given Input Data is 428, 968, 57, 688

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

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(428, 968) = 103576

GCD(428, 968) = ( 428 x 968 ) / 103576

GCD(428, 968) = 414304 / 103576

GCD(428, 968) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 428, 968, 57, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 808, 10, 800
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• GCD of 384, 132, 13, 822

1. What is the GCD of 428, 968, 57, 688?

GCD of 428, 968, 57, 688 is 1

2. Where do I get the detailed procedure to find GCD of 428, 968, 57, 688?

You can find a detailed procedure to find GCD of 428, 968, 57, 688 on our page.

3. How to find GCD of 428, 968, 57, 688 on a calculator?

You can find the GCD of 428, 968, 57, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.