GCD of 872, 212, 40, 785 Calculator

Given Input numbers are 872, 212, 40, 785

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 872, 212, 40, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 212, 40, 785 is 1.

Therefore, GCD of numbers 872, 212, 40, 785 is 1

Given Input Data is 872, 212, 40, 785

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 785 is 5 x 157

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(872, 212) = 46216

GCD(872, 212) = ( 872 x 212 ) / 46216

GCD(872, 212) = 184864 / 46216

GCD(872, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 785

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

LCM(4, 785) = 3140

GCD(4, 785) = ( 4 x 785 ) / 3140

GCD(4, 785) = 3140 / 3140

GCD(4, 785) = 1

GCD of 872, 212, 40, 785 is 1

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1. What is the GCD of 872, 212, 40, 785?

GCD of 872, 212, 40, 785 is 1

2. Where do I get the detailed procedure to find GCD of 872, 212, 40, 785?

You can find a detailed procedure to find GCD of 872, 212, 40, 785 on our page.

3. How to find GCD of 872, 212, 40, 785 on a calculator?

You can find the GCD of 872, 212, 40, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.