GCD of 695, 685, 430 Calculator

Given Input numbers are 695, 685, 430

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 695, 685, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 685, 430 is 5.

Therefore, GCD of numbers 695, 685, 430 is 5

Given Input Data is 695, 685, 430

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 685 is 5 x 137

Prime Factorization of 430 is 2 x 5 x 43

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(695, 685) = 95215

GCD(695, 685) = ( 695 x 685 ) / 95215

GCD(695, 685) = 476075 / 95215

GCD(695, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 430

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

LCM(5, 430) = 430

GCD(5, 430) = ( 5 x 430 ) / 430

GCD(5, 430) = 2150 / 430

GCD(5, 430) = 5

GCD of 695, 685, 430 is 5

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1. What is the GCD of 695, 685, 430?

GCD of 695, 685, 430 is 5

2. Where do I get the detailed procedure to find GCD of 695, 685, 430?

You can find a detailed procedure to find GCD of 695, 685, 430 on our page.

3. How to find GCD of 695, 685, 430 on a calculator?

You can find the GCD of 695, 685, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.