GCD of 43, 470, 856, 523 Calculator

Given Input numbers are 43, 470, 856, 523

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 523

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

1, 523

Greatest Common Divisior

We found the divisors of 43, 470, 856, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 470, 856, 523 is 1.

Therefore, GCD of numbers 43, 470, 856, 523 is 1

Given Input Data is 43, 470, 856, 523

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

Prime Factorization of 43 is 43

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 523 is 523

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(43, 470) = 20210

GCD(43, 470) = ( 43 x 470 ) / 20210

GCD(43, 470) = 20210 / 20210

GCD(43, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 43, 470, 856, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 832, 487, 865
• GCD of 92, 121, 963, 801
• GCD of 43, 887, 976, 240
• GCD of 48, 206, 675, 776
• GCD of 38, 911, 809, 251

1. What is the GCD of 43, 470, 856, 523?

GCD of 43, 470, 856, 523 is 1

2. Where do I get the detailed procedure to find GCD of 43, 470, 856, 523?

You can find a detailed procedure to find GCD of 43, 470, 856, 523 on our page.

3. How to find GCD of 43, 470, 856, 523 on a calculator?

You can find the GCD of 43, 470, 856, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.