GCD of 170, 440, 712 Calculator

Given Input numbers are 170, 440, 712

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 170, 440, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 440, 712 is 2.

Therefore, GCD of numbers 170, 440, 712 is 2

Given Input Data is 170, 440, 712

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 712 is 2 x 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(170, 440) = 7480

GCD(170, 440) = ( 170 x 440 ) / 7480

GCD(170, 440) = 74800 / 7480

GCD(170, 440) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 712

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

LCM(10, 712) = 3560

GCD(10, 712) = ( 10 x 712 ) / 3560

GCD(10, 712) = 7120 / 3560

GCD(10, 712) = 2

GCD of 170, 440, 712 is 2

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1. What is the GCD of 170, 440, 712?

GCD of 170, 440, 712 is 2

2. Where do I get the detailed procedure to find GCD of 170, 440, 712?

You can find a detailed procedure to find GCD of 170, 440, 712 on our page.

3. How to find GCD of 170, 440, 712 on a calculator?

You can find the GCD of 170, 440, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.