GCD of 872, 140, 85 Calculator

Given Input numbers are 872, 140, 85

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 872, 140, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 140, 85 is 1.

Therefore, GCD of numbers 872, 140, 85 is 1

Given Input Data is 872, 140, 85

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 85 is 5 x 17

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, 140) = 30520

GCD(872, 140) = ( 872 x 140 ) / 30520

GCD(872, 140) = 122080 / 30520

GCD(872, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

GCD of 872, 140, 85 is 1

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1. What is the GCD of 872, 140, 85?

GCD of 872, 140, 85 is 1

2. Where do I get the detailed procedure to find GCD of 872, 140, 85?

You can find a detailed procedure to find GCD of 872, 140, 85 on our page.

3. How to find GCD of 872, 140, 85 on a calculator?

You can find the GCD of 872, 140, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.