GCD of 523, 698, 112, 887 Calculator

Given Input numbers are 523, 698, 112, 887

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 523, 698, 112, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 698, 112, 887 is 1.

Therefore, GCD of numbers 523, 698, 112, 887 is 1

Given Input Data is 523, 698, 112, 887

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

Prime Factorization of 523 is 523

Prime Factorization of 698 is 2 x 349

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 887 is 887

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(523, 698) = 365054

GCD(523, 698) = ( 523 x 698 ) / 365054

GCD(523, 698) = 365054 / 365054

GCD(523, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

GCD of 523, 698, 112, 887 is 1

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1. What is the GCD of 523, 698, 112, 887?

GCD of 523, 698, 112, 887 is 1

2. Where do I get the detailed procedure to find GCD of 523, 698, 112, 887?

You can find a detailed procedure to find GCD of 523, 698, 112, 887 on our page.

3. How to find GCD of 523, 698, 112, 887 on a calculator?

You can find the GCD of 523, 698, 112, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.