GCD of 56, 657, 864, 142 Calculator

Given Input numbers are 56, 657, 864, 142

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 56, 657, 864, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 657, 864, 142 is 1.

Therefore, GCD of numbers 56, 657, 864, 142 is 1

Given Input Data is 56, 657, 864, 142

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 142 is 2 x 71

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(56, 657) = 36792

GCD(56, 657) = ( 56 x 657 ) / 36792

GCD(56, 657) = 36792 / 36792

GCD(56, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 56, 657, 864, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 787, 306, 502
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• GCD of 77, 121, 463, 229
• GCD of 76, 125, 161, 455

1. What is the GCD of 56, 657, 864, 142?

GCD of 56, 657, 864, 142 is 1

2. Where do I get the detailed procedure to find GCD of 56, 657, 864, 142?

You can find a detailed procedure to find GCD of 56, 657, 864, 142 on our page.

3. How to find GCD of 56, 657, 864, 142 on a calculator?

You can find the GCD of 56, 657, 864, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.